A 45-45-90 triangle is shown below. Find the length of A and B. Leave answer in simplified radical form.

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asked Jul 12, 2022 177k views

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A 45-45-90 triangle is shown below. Find the length of A and B. Leave answer in simplified radical form.

A 45-45-90 triangle is shown below. Find the length of A and B. Leave answer in simplified-example-1

Mathematics
high-school

Tarmelop asked

by Tarmelop

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1 Answer

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Explanation:

${(14 √(6)) }^(2) = 2 {a}^(2) \\ {14}^(2) * { √(6) }^(2) = 2 {a}^(2) \\ 196 * 6 = 2 {a}^(2) \\ 1176 = 2 {a}^(2) \\ {a}^(2) = 588 \\ a = √(588) = √(196 * 3 ) \\ = 14 √(3) \\ a = b = 14 √(3)$

Persepolis answered Jul 17, 2022

by Persepolis

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