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Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. WILL MAKE BRAINLIEST!!

tan G = ?
tan H = ?

Find the tangents of the acute angles in the right triangle Write each answer as a fraction WILL MAKE BRAINLIESTtan G tan H class=

Respuesta :

Answers:

  • tan(G) = 2
  • tan(H) = 1/2

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Explanation:

Recall that tangent is the ratio of opposite over adjacent

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

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So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A+B = 90 degrees

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Side note: The side sqrt(5) isn't used at all.

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