Answer:
b = 5sqrt3
c = 10
Explanation:
This is a 30°-60°-90° triangle. This kind of triangle has the best shortcut for finding the sides. There are two things to know.
1. The shortest side is half the longest side (the hypotenuse) or the longest side is double the shortest side.
and,
2. The long leg is the short leg times sqrt3
So in your question, the short leg is given, 5. So the hypotenuse, c is double that, 10.
The long leg is the short leg times the sqrt3. So the long leg, b, is 5sqrt3.