Question

1. if these two shapes are similar, what is the measure of the missing length c?

set up a proportion to solve for side length c.
please show work on your study guide!
image of two similar triangles, larger triangle with sides 12 yd and 4 yd, smaller triangle with sides c and 1 yd

Explanation:

Step1: Identify corresponding sides

For similar triangles, corresponding sides are proportional. The large triangle has sides 12 yd and 4 yd, the small triangle has sides \( c \) and 1 yd. So the proportion is \(\frac{12}{4}=\frac{c}{1}\).

Step2: Solve the proportion

Simplify \(\frac{12}{4}\) to get 3. So \( 3 = \frac{c}{1} \), which means \( c = 3\times1 = 3 \).

Answer:

The measure of the missing length \( c \) is 3 yards.