Question

the base of a triangle is 4 times the height. if the area is 338 square feet, then what is the height of the triangle in feet

Answer 1

Area of a triangle = 1/2 * b * h

b = base

h = height

We know:

h = x

b = 4x

Area = 338ft^2

Let's plug these numbers into the Area formula above.

338ft^2 = 1/2 * 4x * x

First, let's divide both sides by 1/2

676ft^2 = 4x * x

Let's simplify the right side.

676ft^2 = 4x^2

Take the sqrt of both sides.

26 = 2x

Divide each side by 2

13 = x

Remember, the height = x = 13 feet