Question

1. (4 - 27) ben thinks that the slope ratio for this triangle is $\frac{7}{10}$. carfissa thinks the ratio is $\frac{10}{7}$. who is correct? explain your thinking

Explanation:

Step1: Recall slope - ratio formula

The slope ratio (or slope) of a right - triangle is the ratio of the vertical change (rise) to the horizontal change (run).

Step2: Identify rise and run

In a right - triangle, if we consider the vertical side as the rise and the horizontal side as the run. Here, the vertical side has length 7 and the horizontal side has length 10.

Step3: Calculate slope ratio

The slope ratio (slope) $m=\frac{\text{rise}}{\text{run}}=\frac{7}{10}$.

Answer:

Ben is correct because the slope ratio of a right - triangle is the ratio of the vertical side to the horizontal side, which in this case is $\frac{7}{10}$.