Question

Find the lengths of all sides of the right triangle below if its area is 400.​

Answer 1

Answer:

if area is 400 then the height will be40

and base will be 20

and Hypotenuse will be 20√5

Answer 2

Given -

area = 400

Let the base be 'x' and height be '2x' .

Area = 1/2 * base * height

400 = 1/2 * x * 2x

400 = 1/2 * 2x^2

400 = x^2

√400 = x

20 = x

Base = x = 20

Height = 2x = 40

Hypotenuse^2 = base^2 + height^2

H^2 = 400 + 1600

H^2 = 2000

H = √2000

H = 20√5

Hypotenuse = 20√5