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Use the given information to find the lengths of the other two sides of the right triangle if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.

tan(A) = 7/9, b = 4

I already found (a) which is 28/9, I just need to find c =

1 Answer

4 votes

c =
(4√(30) )/(9)

using Pythagoras' identity on the right triangle

c = √( 4² + (
(28)/(9) )² ) = √16 +
(2080)/(81)

=
(√(2080) )/(9) =
(4√(130) )/(9)


User Chris Flynn
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