Find Scalene Non-Right Triangle 3rd Point w/ Side Lengths & Coordinates

  • Thread starter Thread starter pjhphysics
  • Start date Start date
  • Tags Tags
    Triangle
AI Thread Summary
To find the coordinates of the third point in a scalene non-right triangle when the lengths of all three sides and the coordinates of two points are known, one can use the intersection of two circles. Each circle is defined by the distance from one of the known points to the unknown point, with the radius equal to the length of the corresponding triangle side. The solution involves setting up the equations for both circles and solving for the intersection points. This method effectively reduces the problem to finding the common solution of two equations with two unknowns. The discussion emphasizes the geometric approach to solving the problem using circle equations.
pjhphysics
Messages
16
Reaction score
0
If I know the length of all three sides of a triangle and the coordinates of two of those points, how can I find the coordinates of the third point (in a scalene non-right triangle)?

Thanks
 
Mathematics news on Phys.org
If this problem is too hard, then let's try something easier.

If you have a point X, and you have a length d, can you find all points whose distance from X is d?
 
Yes, so I have to find the intersection of two circles. How is this achieved?
 
"intersection of two circles", means you have the equation (implied by the problem description) of each circle and you want to know what point they have in common. Two equations and two unknowns.
 
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
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 »

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 »

Similar threads

I Given a triangle ABC, on which side of the triangle does the point D lie?
Replies
6
Views
2K
B Understanding the Pythagorean Theorem
Replies
38
Views
4K
I Finding vertex of a 3D Triangle on a Plane
Replies
3
Views
2K
I Help with area formula using direction cosines
Replies
3
Views
2K
How Is the Second Leg of the Triangle Calculated in Vector Problem?
Replies
2
Views
1K
MHB Can an Ellipse Help Solve the Scalene Triangle Problem?
Replies
1
Views
1K
I ABC triangle with integer sides
Replies
17
Views
2K
MHB Find Length of Line D in ABC Triangle
Replies
1
Views
2K
I What is the name of the triangle centre point with 120° subtended vertices?
Replies
2
Views
911
I Chiral symmetries in E[SUP]^n[/SUP]
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top