Triangle Definition and 1000 Threads

Homework Statement http://i.imgur.com/lnk7e0D.png CDE is an equilateral triangle inside a circle, with side length 16. FGH is also an equilateral triangle and F is the mid point of DE. Find the length of the side FGH. Should be expressed as Asqrt(B)-C. Where A B and C are positive integers...

Thought I knew this, but am confused by the following example: Show $ |z^3 - 5iz + 4| \ge 8 $ The example goes on: $ |z^3 - 5iz + 4| \ge ||z^3 - 5iz| - |4|| $, using the reverse triangle inequality It's probably right, but I don't get why the +4 can just be made into a -4 ?

The problem A right triangle has an angle a and we know that ##cos \ a = \frac{1}{3}##. What is ## tan \ (90°-a) ## The attempt I know that the ration between the adjacent side and the hypothenuse is 1/3. I am not interested in the real lengths of the sides. I can therefore calculate the...

Hello, so this was a past assignment question that I attempted. I got the right answer but in an incorrect way (I guess my thinking was not based on the concept?) 1. Homework Statement Three point charges of charge Q = 10...

http://imgur.com/Q5gjaSG Consider the semicircle with radius 1, the diameter is AB. Let C be a point on the semicircle and D the projection of C onto AB. Maximize the area of the triangle BDC. What I'm thinking y=sqrt(r^2-x^2) From the formula of a circle x^2+y^2=r^2 A=1/2(x+1)y The area of...

A = 46 degrees b = 8 I don't even know how to start this and I'm really confused. I've already labeled A and b but I really have no clue on how to continue. .-. Can someone please explain this very carefully to me and use simple terms? I've been trying to do this problem and I was told that I...

Please just hint me in the right direction, I'm kind of lost with it. Thanks for any help

I was going through this link -...

Homework Statement Hi all, It is a homework problem, but I really don't quite understand the question. It reads- "3 forces of magnitudes 10N, 20N, and 30N acting on a point are parallel to the sides of an equilateral triangle, taken in order. Find their resultant"Homework EquationsThe Attempt...

Homework Statement A thin, uniform vane of mass M is in the shape of a right triangle, as shown. Find the rotational inertia about a vertical axis through its apex, as shown in the figure. Express your answer in terms of the triangle’s base width b and its mass M. Homework EquationsThe...

$a,b,c,d >0$, please prove we can construct an triangle with length: $\sqrt{b^2+c^2},\sqrt{a^2+c^2+d^2+2ac},\sqrt{a^2+b^2+d^2+2bd}$ and find the area of the triangle

In Euclidean geometry (presumably also in non-Euclidean geometry), the part of the dissecting line that dissects the vertex angle and is inside the isosceles triangle is shorter than the legs of the isosceles triangle. Let ABC be an isosceles triangle with AB being the base. Then, for...

Homework Statement Let R be the triangle defined by -xtanα≤y≤xtanα and x≤1 where α is an acute angle sketch the triangle and calculate ∫∫R (x2+y2)dA using polar coordinates hint: the substitution u=tanθ may help you evaluate the integral Homework EquationsThe Attempt at a Solution so the...

Okay, I know I must sound like a complete idiot here, but please bear with me. I've come across a scenario in which I have triangle ECF. Angle ECF = 60 degrees, Angles CEF and CFE are unknown, lengths EC and FC are unknown and equal and length EF is r√3 and not equal to lengths EC and FC I...

Simple question, but I can't figure it out. Consider an isosceles triangle ABC with \alpha=\beta dissected by a line through C and D, where D is on AB. It is obvious that |CD|<=|AC|=|BC|, but I want to prove it using trigonometry. I can use |BD|<=|BC| in my assumptions but not...

Homework Statement The orthocentre of the triangle formed by points t1,t2, t3 on the parabola y2 = 4ax is vertex Origin Focus (1,0) Homework Equations NA The Attempt at a Solution The points can be taken anywhere, So orthocentre can be formed anywhere isn't it?

Homework Statement There are three objects at the Vertices of an equilateral triangle that start movin towards each other at the same time with a speed v. Describe the path of the objects and the time taken for them to meet. Homework Equations V1=v3 - v2 Where all velocities are in...

This is supposed to be a simple question. However, I forgot a lot of the basics and rules I have to follow. I tried to workout the height based on the area: 0.5 x 3 x h = 30 h = 20 But couldn't figure out the rest. Then I thought about going by ratio (not from knowledge but out of...

Homework Statement Where's the COM Homework Equations The COM of a right triangle is a third of an edge apart of the right angle vertex The Attempt at a Solution Edge AC: ##\frac{50}{\cos 20^0}=53.2## Two thirds of edge AB: ##\frac{53.2\cdot 30^0\cdot 2}{3}=30.7## One third of edge BC...

I am trying to find the equation to predict the next middle number in pascal's triangle. By middle number I mean in each row that has odd number of numbers the middle number of that row. So for example row 6 which has 1,6,15,20( middle number), 15,6,1. I am trying to find that middle number, but...

Let $a,b,c$ be the sides of a right angled triangle. Let $\theta$ be the smallest angle of this triangle. If $\dfrac{1}{a}, \dfrac{1}{b}, \dfrac{1}{c}$ are also the sides of a right angled triangle then show that $\sin(\theta) = \dfrac{\sqrt{5} - 1}{2}$

Homework Statement Alexander has a 6.0m long pole. He wants to use the pole to make a right triangle. One of the legs, meaning not the hypotenuse, is 2.0m long. Calculate the length of the tho other sides in the triangle. Homework Equations Phytagorah theorem asquared + b squared is equal to c...

Hi all, I'm preparing for a deferred exam this semester after falling ill last year. Just looking over my course notes and have a question. I understand how this works in the big picture scheme. What I don't understand however is how my instructor simplified the original equation. 1. Homework...

Homework Statement The corners A, B and C of a triangle lies on a circle with radius 3. We say the triangle is inscribed in the circle. ∠A is 40° and ∠B is 80°. Find the length of the sides AB, BC and AC. Homework EquationsThe Attempt at a Solution I found out the arc AB is 2π, arc BC is 4π/3...

Homework Statement One of the sides of a triangle is 7.0cm, another side is 11.0cm. A Decide the biggest area this triangle can have. B Make calculations and show how the triangle could look like if the area is 30 square cm. Homework Equations Area of a triangle: 0.5*g*h or 0.5*a*b*sinV The...

Hey Guys. I'm having a bit of a problem with my solving triangles book. I'm finding the book really easy but there's this one thing that I keep getting wrong. Whenever I'm working with degrees with decimal points my answer aways fluctuates slightly from the real answer. I must be doing something...

I would like to know how to find RMS and average current of a triangle? i searched the web. but it focus from 0. which i know. but my waveform is different from the internet. i have attached the waveform.. Maximum = 2.5 , Minimum = 1.8 i need to find out the RMS and average current

1. Homework Statement Three electrons form an equilateral triangle 1.00nm on each side. A proton is at the center of the triangle. What is the potential energy of this group of charges? Known Variables: s = 1.00 × 10-9m p+ Charge = 1.60 × 10-19C e- Charge = -1.60 × 10-19C r = s/√(3) = 5.77 ×...

Homework Statement http://www.sumoware.com/images/temp/xzlknterambqmokp.png How to calculate the Magnetic Force of THE "Right Triangle" influenced by a Line when the magnetic field isn't constant B=u0*I/2piR? Homework Equations B=u0*I/2piR F=iLB The Attempt at a Solution I can use F=iLB to...

I've never been quite sure? Is it just a case of trial and error? Or just knowing the limits of sin, cos and tan?

Point $H$ is the orthocenter of $\triangle ABC$ prove :$HA^2+BC^2=HB^2+AC^2=HC^2+AB^2$

Homework Statement Three positive particles of charges 11 μC are located at the corners of an equilateral triangle of side 15.0 cm. Calculate the magnitude and direction of the net force on each particle. Homework Equations Coulomb's Law The Attempt at a Solution I think, that this is easy...

Homework Statement Find the two-dimensional solution to Laplace's equation inside an isosceles right triangle. The boundary conditions are as is shown in the picture: The length of the bottom and left side of the triangle are both L. Homework Equations Vxx+Vyy=0 V=X(x)Y(y) From the image...

Homework Statement Find the value of the 2-form dxdy+3dxdz on the oriented triangle with (0,0,0) (1,2,3) (1,4,0) in that order. Homework EquationsThe Attempt at a Solution I have tried various subtraction of these coordinates and applying them to the formula but the answer is in the back of...

Homework Statement Three point charges q,q and -q lie at three corners of an equilateral triangle of side length d with -q at the apex. If an electron is released from rest midway at the base (point P) what is its KE when its reasonably far away? Homework Equations V = kq/r, U = qV The...

I want to prove that the barycentric coordinates of a point $P$ inside the triangle with vertices in $(1,0,0), (0,1,0), (0,0,1)$ are distances from $P$ to the sides of the triangle. Let's denote the triangle by $ABC, \ A = (1,0,0), B=(0,1,0), C= (0,0,1)$. We consider triangles $ABP, \ BCP, \...

Hey! :o Using vector notation describe a triangle ( in space ) that has as vertices the origin and the endpoints of the vectors $\overrightarrow{a}$ and $\overrightarrow{b}$. Could you tell me what I am supposed to do?? (Wondering)

< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >[/color] Three point charges are located at the corners of an equilateral triangle as Q1 in the top, charge Q2 in the left corner and charge Q3 in teh right corner. Each leg of the triangle has a...

Hello! :o We have a triangle with vertices $(0, 0, 0), (1, 1, 1)$ and $(0, -2, 3)$. We want to find the area. How could we find it?? Do we maybe use the fact that the area of the triangle is the half of the area of the parallelogram?? (Wondering) How do we know that it stands?? How can we...

## 1. Homework Statement Let P = (1,1,1), Q = (0, 3, 1) and R = (0, 1, 4). Find the area of triangle PQR Homework Equations ## \frac {|PQ × PR|}{2} ## = area (The crossproduct divided by two) The Attempt at a Solution I lost my answer key, so I want to check if my final answer of ## \frac...

You are given an arbitrary triangle ABC. Inside ABC there is a point M such that Area(ABM) = Area(BCM) = Area(ACM) . Prove that M is the centroid of triangle ABC. I have had very little progress with this question. I've tried connecting a line from M which bisects BC, but I cannot prove that...

In a triangle $PQR$ right-angled at $R$, the median through $Q$ bisects the angle between $QP$ and the bisector of $\angle Q$. Prove that $2.5<\dfrac{PQ}{QR}<3$.

I have one question from my mathematics for machine technology book that has me stumped as well as my Father in-law, sister in-law and my accountant friend. I wasn't sure if I was supposed to create a right triangle and use A² + B² = C² Problem 18. B...

Homework Statement http://www.sumoware.com/images/temp/xzebnqpmgdnohmgo.png An isosceles-triangle-shaped ladder like the picture above, has a negligible mass. A man with mass m kg climb the ladder till the height is 3 meter (see picture above). Determine the tension of the link (at...

Homework Statement A point charge q =+6.4 \mu \mathrm{C} is placed at each corner of an equilateral triangle with sides 0.29 \mathrm{m} in length. What is the magnitude of the electric field at the midpoint of any of the three sides of the triangle? Hint: if you are careful to examine the...

If I have a triangle diagram for Z \rightarrow W^-W^+, do all fermions contribute the same for giving the contraint \sum_i Q_i =0?? I think that eg top quarks will be absent for such a diagram... any help?

Homework Statement [/B] Hello! I have this question which I don't quite know how to solve... ABC is an equilateral triangle - the length of its sides equal to (a). DE is parallel to BC 1. What length should DE be to achieve the largest possible area of triangle BDE? 2. What length should DE...

I'm trying to solve exercise 60 from Kiselev's Planimetry. Homework Statement "Show that in any triangle, every two medians intersect. Is the same true for every two bisectors? altitudes?" Homework Equations There aren't any, unfortunately. The Attempt at a Solution The last part of the...

Homework Statement A right-triangular wooden block of mass M is at rest on a table, as shown in figure. Two smaller wooden cubes, both with mass m, initially rest on the two sides of the larger block. As all contact surfaces are frictionless, the smaller cubes start sliding down the larger...

If $x,\,y,\,z$ are lengths of three segments which can form a triangle, show that the same is true for $\dfrac{1}{x+z},\,\dfrac{1}{y+z},\,\dfrac{1}{x+y}$.