Problema Solution

The number of inches in an altitude of a triangle is twice the number of inches in the base. The area of the triangle is 204 square inches. Find the number of inches in the altitude and the number of inches in the base.

Answer provided by our tutors

If the area is 204 inches squared, then the height is 2x and the base is x.

Area of a triangle is (1/2)BH...

So (1/2)(2x)(x) = 204

2x^2 = 408

x^2 = 204

x = 14.3

x was the base in our case, which is 14.3 inches.

2x is the altitude, which is 2(14.3) = 28.6 inches.