Question

an isosceles right angled triangle has area 200cm^2 what is the length of the hypotenus

Answer 1

Let each equal side of the isosceles right angled triangle be x cm 
Area of the triangle 
=1/2*x^2 
Therefore, 
1/2*x^2=200 cm^2 
x^2=400 
x=20 cm 
The hypotenuse of the triangle is terefore, 
sqrt(20^2*2) 
=20 sqrt2 cm
.
hope it helps you

Answer 2

Let the length of equal sides be a

Area = 200

=> 1/2 * a^2 = 200

=> a^2 = 400

=> a = 20 cm

Base = 20 cm

Perpendicular = 20 cm

Hypotenuse = sqrt ( 20^2 +20^2)

= sqrt(400+400)

= sqrt ( 800)

= 20 root2