A garden has the form of a right triangle One leg of the tri

A garden has the form of a right triangle. One leg of the triangle is formed by a 1200 ft long sea wall. The hypotenuse of the triangle is 400 ft longer than the other leg. What are the dimensions of the garden?

The second leg is?

The hypotenuse is?

Solution

Given : One leg = 1200 ft

Let other leg = x

Then , hypotenuse = 400 + x

By Pyth theorem

(400 + x)² = (1200)² + x²

160000 + 800x + x² = 1440000 + x²

160000 + 800x = 1440000

800x = 1440000 - 160000

800x = 1280000

x = 1280000/800

x = 12800/8

x = 1600

Hence, second leg is x = 1600 ft

and hypotenuse is = 400 + x

putting the value of x in hypotenuse , we get:

Hypotenuse = 400 + 1600

Hence, Hypotenuse = 2000 ft

Hence, dimensions are :

1600ft, 1200ft, 2000 ft [ Answer ]