Question

question
triangle cde is similar to triangle fgh. find the measure of side fg. round your answer to the nearest tenth if necessary.
e
13
d
c
6
h
47
g
f
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Explanation:

Step1: Identify corresponding sides

Since \(\triangle CDE \sim \triangle FGH\), the corresponding sides are proportional. So, \(\frac{CE}{FH}=\frac{CD}{FG}\). Here, \(CE = 13\), \(FH = 47\), and \(CD = 6\).

Step2: Set up proportion and solve

Set up the proportion \(\frac{13}{47}=\frac{6}{FG}\). Cross - multiply to get \(13\times FG=47\times6\). Then \(13FG = 282\). Solve for \(FG\) by dividing both sides by 13: \(FG=\frac{282}{13}\approx21.7\).

Answer:

\(21.7\)