Algebra
posted by Steve on .
Which of the triangles described in the table is a right triangle?
side 1 side 2 side3
q 25 20 15
r 26 20 46
s 25 20 1025
t 25 26 650
I think that it is R

The answer is S.
A right angle triangle follows Theorem Phytagoras rule. The sum of squares of 2 sides = length of the 3rd side
For S, 25^2 + 20^2 = 1025 
Not quite. sum of squares is the square of the 3ed side.
We all know of the 345 triangle.
Scale that up by a factor of 5 and you get a 152025 triangle. (q)
(s) and (t) are just way off. We know that for any triangle, each side is less than the sum of the other two. 
Square of the 3rd side is the hypothenuse.
If we square root 1025, we'll get 5sqrt(41).
5sqrt(41)  20^2 = 625 = 25^2