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Question
if these two shapes are similar, what is the measure of the missing length h? 11 cm 66 cm 15 cm h h = centimeters
Step1: Set up proportion
For similar shapes, the ratios of corresponding sides are equal. Let the ratio of the first - pair of corresponding sides be equal to the ratio of the second - pair of corresponding sides. So, $\frac{11}{15}=\frac{66}{h}$.
Step2: Cross - multiply
Cross - multiplying gives us $11h = 15\times66$.
Step3: Solve for h
First, calculate $15\times66 = 990$. Then, $h=\frac{990}{11}=90$.
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