Sides of a triangle are 7, 24 and 25. Determine whether the triangle is right-angled triangle or not

By Pythagoras, if the sum of squares of two sides is equal to the square of the largest side then the triangle is said to be right-angled

Here given sides of the triangle are 7, 24 and 25

Largest side = 25

25^{2} = 625 Sum of squares of remaining two sides 7^{2} + 24^{2} = 49 + 576 = 625

∴ 72 + 242 = 252 Therefore triangle having sides 7,24 and 25 is a right-angled triangle