Question

Determine the approximate value of c. Round to the nearest hundredth.

Answer 1

Explanation:

Use the cos law.

c^2 = a^2 + b^2 - 2*a*b*Cos(C)

Givens

a = 9 cm

b = 6 cm

C = 73

Solution

c^2 = 9^2 + 6^2 - 2*9*6 * Cos(73) Multiply 2*9*6 by Cos(73)

c^2 = 81 + 36 - 108 * 0.2923 Combine

c^2 = 117 - 31.57 Subtract

c^2 = 85.43 Take the square root of both sides

c = 9.24