Question

the figures below are similar. use proportions to find the length of m. m 2 m = ? 10 4

Explanation:

Step1: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{m}{10}=\frac{2}{4}$.

Step2: Cross - multiply

$4\times m = 2\times10$, which simplifies to $4m = 20$.

Step3: Solve for m

Divide both sides of the equation $4m = 20$ by 4. So $m=\frac{20}{4}$.

Answer:

$m = 5$