Question

All of the triangles below have a base to height ratio of 5:2. Label the missing dimensions

Answer 1

1. b = 5

2. h = 6

3. b = 30

Explanation:

We know the ratio between height and base.

By means of the following proportions we can determine the missing dimensions in each case:

`\begin{gathered} (5)/(2)=(b)/(h) \\ \\ \text{ 1st triangle} \\ \\ (5)/(2)=(b)/(2)\rightarrow b=5 \\ \\ \text{ 2nd triangle} \\ \\ (5)/(2)=(15)/(h)\rightarrow h=(15)/(5)\cdot2\rightarrow h=6 \\ \\ \text{ 3rd triangle} \\ \\ (5)/(2)=(b)/(12)\rightarrow b=12\cdot(5)/(2)\rightarrow b=30 \end{gathered}`