Question

if these two shapes are similar, what is the measure of the missing length a? 9 in 1 in 3 in a = inches submit

Explanation:

Step1: Identify the scale factor

For similar shapes, the ratios of corresponding sides are equal. The corresponding sides are 9 in (large triangle) and 3 in (small triangle), and 1 in (small triangle) and \(a\) (large triangle). First, find the scale factor by dividing the length of the large triangle's side by the small triangle's side: \(\frac{9}{3}=3\).

Step2: Apply the scale factor to find \(a\)

Now, use the scale factor to find \(a\). The corresponding side to \(a\) in the small triangle is 1 in. Multiply this by the scale factor: \(a = 1\times3 = 3\).

Answer:

3