Question

If the sides of a triangle are 6 cm, 8 cm and 10 cm, respectively, then determine whether the triangle is a right angle triangle or not.

Answer 1

The sides of the triangle are 6 cm, 8 cm and 10 cm.

The longest side is 10 cm.

(10)² = 100                                                     ….(i)

Now, the sum of the squares of the other two sides will be,

(6)² + (8)² = 36 + 64 = 100                              ….(ii)

(10)² = (6)² + (8)²                              ….. from (i) and (ii)

By the converse of Pythagoras theorem:

The given sides form a right angled triangle.