The height of a triangle is twice the base. The area is 16 square inches. Find the base.
A) The base is 4 inches.
B) The base is 24 inches.
C) The base is 16 inches.
D) The base is 22 inches.
E) The base is 7 inches.

Question

Quizplus · Accepted Answer

The area of a triangle is given by the formula 1/2 * base * height. Given the height is twice the base, let the base be x inches. Therefore, the height is 2x inches. Substituting these into the area formula gives 1/2 * x * 2x = 16. Simplifying, x^2 = 16, so x = 4. Thus, the base is 4 inches.

The Height of a Triangle Is Twice the Base