Solve the problem.
-The area of a triangle must be at most 52 square inches, the base is 13 inches, and the height is x inches. Find the possible values for x.
A) $0

Question

Solve the problem.
-The area of a triangle must be at most 52 square inches, the base is 13 inches, and the height is x inches. Find the possible values for x. 
A) $0 < x \leq 8$
B) $0 < x \leq 16$
C) $0 < x \leq 4$
D) $x < 8$

Quizplus · Accepted Answer

The area of a triangle is given by the formula $ \frac{1}{2} \times \text{base} \times \text{height} $. Given that the area must be at most 52 square inches and the base is 13 inches, we can set up the inequality $ \frac{1}{2} \times 13 \times x \leq 52 $. Simplifying, we get $ \frac{13x}{2} \leq 52 $, which further simplifies to $ x \leq 8 $. Since the height of a triangle must be greater than 0, the possible values for x are $0 < x \leq 8$.

Solve the Problem 0<x≤80 < x \leq 80<x≤8 B) 0<x≤160 < x \leq 160<x≤16

Solve the Problem $0 < x \leq 8$ B) $0 < x \leq 16$