Question

chapter 2 group test
name:____ date:__ period:__ score:____

1. set up a proportion relationship using the similar triangles below and solve for x!

Explanation:

Step1: Use property of similar triangles

For similar triangles, the ratios of corresponding sides are equal. So, \(\frac{8}{21}=\frac{18}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(8x = 21\times18\).

Step3: Calculate \(21\times18\)

\(21\times18=(20 + 1)\times18=20\times18+1\times18 = 360+18=378\). So, \(8x = 378\).

Step4: Solve for \(x\)

Dividing both sides by \(8\), \(x=\frac{378}{8}=\frac{189}{4}=47.25\).

Answer:

\(x = 47.25\)