Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if these two shapes are similar, what is the measure of the missing len…

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

Explanation:

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, $h=\frac{990}{11}=90$.

Answer:

90