Question

a triangle has a height of 3 inches and a base of 4 inches. which of the following represent the ratio of height to the base of the triangle? select all that apply. a \\(\frac{3}{4}\\) b 3 to 4 c 3:4 d 4:3

Explanation:

Step1: Understand the ratio definition

The ratio of height to base is height divided by base. Here, height = 3 inches, base = 4 inches. So the ratio is $\frac{height}{base}=\frac{3}{4}$.

Step2: Analyze each option

• Option A: $\frac{3}{4}$ matches the ratio we calculated.
• Option B: "3 to 4" is another way to write the ratio $\frac{3}{4}$.
• Option C: "3:4" is the colon - form of the ratio $\frac{3}{4}$.
• Option D: "4:3" is the ratio of base to height, not height to base.

Answer:

A. $\frac{3}{4}$, B. 3 to 4, C. 3:4