Question

similarity and ratios
hezhu gao
similarity and ratios
the following figures are similar. what is the value of the unknown side?
open - ended question
please solve for x. (show work)
type your answer here
rewatch

Explanation:

Step1: Set up proportion

For similar - shaped figures, the ratios of corresponding sides are equal. Given the proportion $\frac{6}{8}=\frac{3}{x}$.

Step2: Cross - multiply

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

Step3: Simplify the right - hand side

$3\times8 = 24$, so the equation becomes $6x=24$.

Step4: Solve for x

Divide both sides of the equation by 6: $x=\frac{24}{6}=4$.

Answer:

4