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.

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 F class=

Respuesta :

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