Question

An isosceles right triangle has area of 8 square cm find the length of its hypotenuse

Answer 1

Answer:4√2 cm

Step-by-step explanation:

Let ABC be right angled isosceles triangle where angle B is 90.

Acc to qn AB=BC (reason: Hypotenuse is always the greatest side so the remaining sides should be equal in right angled isosceles triangle)

Area=8 cm square

or,1/2 * AB * BC=8

or,AB^2=16

or,AB=4 cm=BC

Hypotenuse=AC=√AB^2+BC^2    or,√4^2+4^2   =4√2 cm