1. refer to the triangle below. if a = 3 and b = 6, a. find the exact length of c in unsimplified radical form b. find the exact length of c in simplified radical form c. find c to the nearest hundredth

I'm assuming that the triangle is a right triangle wherein the Pythagorean theorem is applicable.

a² + b² = c²

c = √a²+b²
c = √3² + 6² 
c = √9 + 36
c = √45   unsimplified radical form
c = √9 * 5 
c = 3 √5  simplified radical form
c = 3 * 2.24
c = 6.71 value of c to the nearest hundredth