SOLUTION: If the sides a triangle have measurements of 7,8, & 10, how do I find the angles within the triangle? Thank you.

Algebra.Com
Question 520544: If the sides a triangle have measurements of 7,8, & 10, how do I find the angles within the triangle?
Thank you.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Sides are 7,8, & 10
That's the side-side-side case.  It's done by the law of cosines.





 =  = 
 =  = 
 =  = 

If you calculate those, and take inverse cosines, you'll get

A = 83.33457274°,  B = 52.61680158°,  C = 44.04862567°

Edwin
RELATED QUESTIONS

How do you find the hieght of a triangle if you already know the measurements of all... (answered by jojo14344,jim_thompson5910)
I have the perimeter of the triangle and the measurements of the sides. How do i find the (answered by richwmiller)
The angles of a triangle have consecutive integer measurements. Find the measurements of... (answered by Alan3354,sudhanshu_kmr)
a right triangle as one (h) measures 14 a base 10 and the other unknown how do I find... (answered by stanbon)
if the length of three sides are known in a triangle, how to determine the angles within... (answered by mathstutor494)
If I have a right triangle with one side measuring 3" and one measuring 17.5", and the... (answered by stanbon)
If I have a triangle and they give me the degrees to two of the angles how do I find the... (answered by Fombitz)
how would I find the measurement of the sides of a triangle if I had the measurements of... (answered by Fombitz)
if three angles in a scalene triangle are know how do i find the length of the sides (answered by KMST)