Question

an isosceles right angled triangle whose area is 8 cm square find the length of its hypotenuse

Answer 1

Let ABC an isoceles right triangle angled at A with AB=AC

Let AB=BC=x

Area =1/2 b×h

1/2 x × x=8

x²=16

x=4

AB=BC=4cm

Applying Pythagoras Theorm

BC²=AB²+BC²

4²+4²

16+16

32

BC=4√ 2cm