Question

If a triangle having sides 8 cm, 15 cm and 17 cm, then state whether given triangle is right angled triangle or not.

Answer 1

The sides of the triangle are 8 cm, 15 cm and 17 cm.

The longest side of the triangle is 17 cm.

∴ (17)² = 289

Now, sum of the squares of the remaining sides is,

(8)² + (15)² = 64 + 225 = 289

∴ (17)² = (8)² + (15)²

∴ Square of the longest side is equal to the sum of the squares of the remaining two sides.

∴ The given sides will form a right-angled triangle.   ...[Converse of Pythagoras theorem]