Question

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

Answer 1

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

25² = 625

Sum of squares of remaining two sides

7² + 24² = 49 + 576

= 625

∴ 7² + 24² = 25²

Therefore triangle having sides 7,24 and 25 is a right-angled triangle