Question

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

Answer 1

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