Question

given that the triangles are similar, find the value of x. round decimals to two places.
10.
11.

Explanation:

Step1: Set up proportion for similar triangles

For problem 10:
Since the triangles are similar, the ratios of corresponding sides are equal.
We have \(\frac{5}{x}=\frac{6}{9}\)
Cross - multiply: \(6x = 5\times9\)
\(6x=45\)
\(x=\frac{45}{6}=7.5\)

For problem 11:
Since the triangles are similar, \(\frac{12}{x}=\frac{7}{4}\)
Cross - multiply: \(7x = 12\times4\)
\(7x = 48\)
\(x=\frac{48}{7}\approx6.86\)

Answer:

1. \(x = 7.5\)
2. \(x\approx6.86\)