Question

The area of an isosceles right triangle is 392 cm2. Find the hypotenuse.​

Answer 1

Step-by-step explanation:

In an isosceles right angled triangle, the two sides on the right angle are equal

Let the equal side be a

Hence, hypotenuse of the isosceles right angled triangle of side a=

√a²+a² = √2a²

In the isosceles right triangle, the base and height =a

hence area= ½* base* height.

½*a*a=392

a²= 196

a=96.

the hypotenuse=√2a= 96√2cm

Hope it helps you