Question

Refer to the triangle below.

If a = 3 and b = 6
a. Find the exact length of c in un-simplified radical form
b. Find the exact length of c in simplified radical form
c. Find c to the nearest hundredth.

Answer 1

By the Pythagorean theorem:

с = √(3² + 6²)
= √(9 + 36)
= √45 ← un-simplified radical form
= 3√5 ← simplified radical form
≈ 6.71 ← to the nearest hundredth