Question

26. A public park is in the shape of a triangle. The side of the park that forms the base of the triangle is 2000 yards long, and the area of the park is 7500 yards2 . What is the length of the side of the park that forms the height of the triangle?

Answer 1

7.5 yards

Explanation:

Since the area of a triangle is found by the equation:
`(bh )/(2)`, in which b=base h=height, and
`bh` is base times height, we can work backward from the value of the area to find the height of the park

Start by multiplying 7500 by 2. From this, you get 15000.

Now for the second step, you have to divide 15000 by 2000 in order to determine the height of the triangle. this value comes out to 7.5.

This means that the values of the equation are b=2000 and h=7.5
`(2000(7.5))/(2)`

To double-check, we multiply 2000 by 7.5. and divide that value by 2. This gives us the original area of 7500

This means that the height of the park is 7.5 yards