What is the base (in inches) of a triangle with an area of 161 square inches and a height of 14 inches?

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24-08-2022
Mathematics

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What is the base (in inches) of a triangle with an area of 161 square inches and a height of 14 inches?

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jdoe0001 jdoe0001 · Answer 1 · 2022-08-24T01:05:02+02:00

jdoe0001 jdoe0001

24-08-2022

[tex]\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=14\\ A=161 \end{cases}\implies 161=\cfrac{1}{2}b(14) \\\\\\ 161=7b\implies \cfrac{161}{7}=b\implies 23=b[/tex]

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