Question

similarity and ratios
hezhu gao
similarity and ratios
the following figures are similar. what is the value of the unknown side?
1)
2)
3)
4)
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. For the third - set of similar triangles, we have the proportion $\frac{16}{14}=\frac{8}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $16x = 14\times8$.

Step3: Simplify the right - hand side

$14\times8 = 112$, so the equation becomes $16x=112$.

Step4: Solve for x

Dividing both sides of the equation $16x = 112$ by 16, we get $x=\frac{112}{16}=7$.

Answer:

$x = 7$