2 triangles are proportional to each other. underset(1)(b)=6m underset(2)(b)=34m underset(1)(h)=5.5m Find underset(2)(h)

aflacatn 2021-08-12 Answered
2 triangles are proportional to each other.
\(\displaystyle{\underset{{{1}}}{{{b}}}}={6}{m}\)
\(\displaystyle{\underset{{{2}}}{{{b}}}}={34}{m}\)
\(\displaystyle{\underset{{{1}}}{{{h}}}}={5.5}{m}\)
Find \(\displaystyle{\underset{{{2}}}{{{h}}}}\)

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Expert Answer

BleabyinfibiaG
Answered 2021-08-13 Author has 3336 answers
\(\displaystyle\frac{{{\underset{{{1}}}{{{b}}}}}}{{{\underset{{{1}}}{{{h}}}}}}=\frac{{{\underset{{{2}}}{{{b}}}}}}{{{\underset{{{2}}}{{{h}}}}}}\)
\(\displaystyle\frac{{6}}{{5.5}}=\frac{{34}}{{\underset{{{2}}}{{{h}}}}}\)
\(\displaystyle{\underset{{{2}}}{{{h}}}}=\frac{{{34}\times{5.5}}}{{6}}\)
\(\displaystyle=\frac{{187}}{{6}}\)
\(\displaystyle={31}\frac{{1}}{{6}}\)
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