Question

similarity and ratios the following figures are similar. what is the value of the unknown side? 1) $\frac{6}{8}=\frac{3}{x}rightarrow 6x = 24rightarrow x = 4$ 2) $\frac{8}{12}=\frac{2}{x}rightarrow 8x=24rightarrow x = 3$ 3) $\frac{16}{14}=\frac{8}{x}rightarrow 16x = 8\times14rightarrow x = 7$ 4) $\frac{6}{x}=\frac{36}{54}$ open - ended question please solve for x. (show work) type your answer here

Explanation:

Step1: Set up proportion

For similar figures, the ratios of corresponding sides are equal. Let's assume we are dealing with the first - pair of similar triangles where the proportion is $\frac{6}{8}=\frac{3}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $6x = 3\times8$.

Step3: Solve for x

$6x=24$, then $x=\frac{24}{6}=4$.

Answer:

$x = 4$