Question

The area of a right isosceles triangle is 200 metre^2, find its hypotenuse.

Answer 1

Answer:

28.28 cms

Step-by-step explanation:

Let the length of the base and perpendicular of a right angled isosceles triangle

is x cm. Its area = (1/2).x.x cm^2. , accordingly:-

(1/2).x.x=200.

or. x=√400 = 20 cm.

Length of the hypotenuse = √(x^2+x^2) = x.√2 cm. , putting x=20 cm.

= 20√2 cm. = 20× 1.414 = 28.28 cms. Answer.