Question

find the length of hypotenuse of an isosceles right angled triangle having an area of 200 cm^2

Answer 1

Let the equal sides be x cm

Area of triangle = 1/2*x*x

200cm^2=1/2x^2

x^2=400cm

x=20cm

Hypotenuse =(x^2+x^2)^1/2

=(20^2+20^2)*1/2

=800^1/2

20*(2)^1/2