Question

if these two shapes are similar, what is the measure of the missing length n? 84 m 36 m 56 m n n = \boxed{} meters submit

Explanation:

Step1: Set up proportion for similar triangles

Since the triangles are similar, their corresponding sides are proportional. So, $\frac{84}{56} = \frac{36}{n}$.

Step2: Cross - multiply to solve for n

Cross - multiplying gives $84n = 56\times36$. First, calculate $56\times36 = 2016$. Then, $n=\frac{2016}{84}$.

Step3: Simplify the fraction

$\frac{2016}{84}=24$.

Answer:

24