Question

If the square of the hypotenuse of an isosceles right angled triangle is 98 square centimetre find the length of each side

Answer 1

Answer:

In an isosceles right triangle two sides are equal

Given square of hypotenuse = 98 cm²

Let the sides be xcm [as they are equal, let both the sides be xcm]

We know that by pythagoras theorem    

side² + side² = hyp²

⇒ x² + x² = 98

⇒ 2x² = 98

⇒ x² = 98/2

⇒ x² = 49

⇒ x = √49

∴ x = 7

∴The length of the congruent sides are 7cm and 7cm