MHB Finding the measure of Triangle ABC

  • Thread starter Thread starter Mizu
  • Start date Start date
  • Tags Tags
    Measure Triangle
AI Thread Summary
To solve Triangle ABC with angle A at 46 degrees and side b measuring 8, start by recognizing that the sum of angles in a triangle equals 180 degrees. Since it's a right triangle, angle B can be calculated as 44 degrees. With one angle and a side known, the Law of Sines can be applied to find the lengths of sides a and c, resulting in values of approximately 8.28 and 11.52, respectively. The area of the triangle can then be determined using the Pythagorean theorem, yielding an area of about 33.14 square units. Understanding these relationships and formulas is essential for solving the triangle correctly.
Mizu
Messages
2
Reaction score
0
RZWwnev.jpg


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 start it by doing 10 x sin 18, but I'm not really sure why that is done. So far I got a =0.053, I'm not sure if that's right or wrong so yeah. .-. I need to find a, b and c and I'm confused on what to multiply.
 
Last edited:
Mathematics news on Phys.org
What relationship must hold between $\angle A$ and $\angle B$?
 
MarkFL said:
What relationship must hold between $\angle A$ and $\angle B$?

The directions say " Solve Triangle ABC using the diagram and the given measurements. "

It's referring to the lowercase b, which is a side of the triangle in the example diagram.
 
Mizu said:
The directions say " Solve Triangle ABC using the diagram and the given measurements. "

It's referring to the lowercase b, which is a side of the triangle in the example diagram.

I am assuming you are to find the measure of all angles and sides. Since it is a right triangle, and you know the measure of one of the acute angles, what must the measure of the other be?

Once you know all 3 angles, and you know at least 1 side's measure, you can then use the Law of Sines to find the measures of the unknown sides.
 
Angles sum = 180º
B = 180º - 90º - A = 44º
Use sine law for a and c.
a = 8.28 and c = 11.52
Use Pythagoraem's theoreme for area.
area = 33.14 ( ² )
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Difference of angles in a triangle
Replies
4
Views
2K
MHB Find the scale factor of triangle ABC to triangle DEF
Replies
5
Views
3K
I Given a triangle ABC, on which side of the triangle does the point D lie?
Replies
6
Views
2K
MHB Area of Triangle ABC: Find the Solution
Replies
2
Views
2K
MHB Can You Find the Angle in This Isosceles Triangle Problem?
Replies
1
Views
1K
MHB Can an Ellipse Help Solve the Scalene Triangle Problem?
Replies
1
Views
1K
MHB Area of Triangle ABC: Find the Answer Here
Replies
2
Views
1K
MHB What is the perimeter of triangle ABC?
Replies
13
Views
4K
MHB What is the Value of \(2\tan\frac{1}{2}A\tan\frac{1}{2}B\) in Triangle ABC?
Replies
2
Views
1K
MHB Find Side Lengths of Pythagorean Triangle ABC with Square DEFG Inscribed
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top