Question

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

Answer 1

The longest side is 25 cm. 

∴ (25)² = 625                                                          ....(i)

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

(7)² + (24)² = 49 + 576

                   = 625                                                   ....(ii)

∴ (25)² = (7)² + (24)²                                                  .....[ From (i) and (ii)]

Yes, the given sides form a right angled triangle .  ......[By converse of pythagoras theorem]