If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?

Respuesta :

Answer:

The length is 600 ft

Step-by-step explanation:

We can solve this by applying the Pythagorean theorem

a^2 + b^2 = c^2

The hypotenuse (diagonal path) is 750

750 represents c, 750^2 is 562500

We also know the width (one side of the triangle)

450 can represent a, 450^2 is 202500

202500 + b^2= 562500

We can subtract 202500 on both sides to isolate the b^2

b^2= 360000

Square root both sides of the equation

B= 600

The length is 600 ft