Question

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 =

Answer 1

c =
`(4√(30) )/(9)`

using Pythagoras' identity on the right triangle

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

=
`(√(2080) )/(9)` =
`(4√(130) )/(9)`