SOLUTION: In triangle ABC, C is a right angle. Side c=9 and a=5. What are the remaining sides and angles in degrees of the triangle? Round answers to the nearest hundredth if needed.

Algebra ->  Trigonometry-basics -> SOLUTION: In triangle ABC, C is a right angle. Side c=9 and a=5. What are the remaining sides and angles in degrees of the triangle? Round answers to the nearest hundredth if needed.       Log On


   

Question 879355: In triangle ABC, C is a right angle. Side c=9 and a=5. What are the remaining sides and angles in degrees of the triangle? Round answers to the nearest hundredth if needed.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Law of Sines will give you angle A.
sine%2890%29%2F9=sin%28A%29%2F5
sine%28A%29=%285%2F9%29%2Asine%2890%29
A=arcsin%285%2F9%29
highlight%28A=33.75%29 degrees approximately.

The hypotenuse is c=9 because this is opposite of the right angle of the right triangle. Pythagorean Theorem will give b:
a%5E2%2Bb%5E2=c%5E2
25%2Bb%5E2=81
b%5E2=81-25
b%5E2=56
b=sqrt%287%2A2%2A2%2A2%29
highlight%28b=2sqrt%2814%29%29