9 The following information refers to triangle ABC 91 If A

9. The following information refers to triangle ABC 9.1) If A = 36.7\", B = 832° ,a = 31.5 inches, find b. 9, b = 11 and d-55°, find c. 9.2) If a

Solution

1)

A = 36.7 degree,   B = 83.2 degree,

a = 31.5 inches

Now using

sinB/b = sinA/a ========> sin83.2/b = sin36.7/31.5 ======> b = 52.34 inches

2)   a = 9, b = 11,   C = 55 degree

c^2 = a^2 + b^2 – 2ab*cosC = 9^2 + 11^2 – 2*9*11*cos55

   c = 9.4