## Brazillin_princess 2 years ago Could I find the two missing angle measures if I know some of the side lengths of a right triangle? I made my own example... im just not sure how to use TAN, COS, or SIN to solve it.

1. Brazillin_princess

2. Mr.Me

Yes. Fist use the Pythagorean Theorem$a ^{2}+b^{2}=c ^{2}$ to find the measure of side AB. The use Cos(A)=ADJ/Hyp or Sin(A)=opp/hyp and use the inverse sine or cosine functions $\sin^{-1} opp/hyp$ and that will give you the measure of A then do the same for angle B

3. Mr.Me

3^2+5^2$3^{2}+5^{2}=c ^{2}$ $9+25=c ^{2}$ solve for c $36=c^{2}$ $c=6$ $Sin(A)=\frac{ 3 }{ 6 }$ $\sin^{-1} (\frac{ 3 }{ 6 })=A$ just plug into your calculator

4. Brazillin_princess

Thankyou! :)