Question

if these two shapes are similar, what is the measure of the missing length a?
a =
inches
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Explanation:

Step1: Find the scale factor

The corresponding sides of the small triangle (1 in) and large triangle (3 in) give the scale factor: $\frac{3}{1} = 3$.

Step2: Calculate missing length $a$

Multiply the corresponding side of the small triangle (4 in) by the scale factor: $4 \times 3 = 12$.

Answer:

12 inches