Question

The triangles shown below are similar.24Similar Help30Solve for x.X=

Answer 1

Here, we are given two similar triangles.

Let's find the value of x.

The corresponding sides of similar triangles are proportional.

To find the value of x, apply the ratio for simlilar triangles.

Thus, we have:

`(24)/(8)=(30)/(x)`

Cross multiply:

`\begin{gathered} 24x=30(8) \\ \\ 24x=240 \end{gathered}`

Divide both sides by 24:

`\begin{gathered} (24x)/(24)=(240)/(24) \\ \\ x=10 \end{gathered}`

Therefore, the value of x is 10

ANSWER:

10