Question

The triangles are similar. The similarity ratio from A to B is \frac{3}{8}. Solve for x.

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asked 2021-08-09
The triangles are similar. The similarity ratio from A to B is \(\displaystyle{\frac{{{3}}}{{{8}}}}\). Solve for x.
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Answers (1)

2021-08-10

Similarity ratio from A to B = \(\displaystyle{\frac{{{3}}}{{{8}}}}\)
similarity ratio = \(\frac{side\ length\ of\ first\ triangle}{corresponding\ side\ of\ second\ triangle}\)
given similarity ratio = \(\displaystyle{\frac{{{3}}}{{{8}}}}={\frac{{{x}}}{{{24}}}}\)
\(\displaystyle{x}={\frac{{{3}\times{24}}}{{{8}}}}\)
x=9

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