43
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 43 • MISD CR Algebraic Reasoning B

The base of a triangle is one third its height. If the area of the triangle is 24 square inches, what are the base and height of the triangle?

Answer
A
3in, 9in
B
8in, 24in
C
2in, 6in
D
4in, 12in

Explanation

Let the height be h inches, so the base is h/3 inches. Using the triangle area formula, (1/2)(h/3)(h) = 24, which gives h² = 144 and h = 12. The base is therefore 12/3 = 4 inches, so the correct choice is 4 in, 12 in.

AI-written and checked against the verified answer.

Previous
Next