Question

The area of an isosceles right triangle is 288 cm2. Find length of its hypotenuse.

Answer 1

as it is a right angled triangle and an isosceles triangle....

Let the base and perpendicular = x

1/2 * x * x = 288

x² / 2 = 288

x² = 144

x = 12 cm

Therefore, the 2 sides are 12 cm each

Using Pythagoras Theorem,

x² + x² = hypotenuse²

144 + 144 = hypotenuse²

288 = hypotenuse²

hypotenuse = +-√288 cm

but, length can't be negative.
So, hypotenuse = √288 = 12√2 cm