Question

If a triangle having sides 50 cm, 14 cm and 48 cm, then state whether given triangle is right angled triangle or not.

Answer 1

The sides of the triangle are 50 cm, 14 cm and 48 cm.

The longest side of the triangle is 50 cm.

∴ (50)² = 2500

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

(14)² + (48)² = 196 + 2304 = 2500

∴ (50)² = (14)² + (48)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]