Question

How do you solve for the unknown lengths and angle measures of triangle ABC where angle C = 90 degrees, a = 9 and angle A = 41?

Answer 1

Solve triangle knowing C = 90. A = 41 and a = 9

Explanation:

find B and b and c.

Angle B = 90 - A = 90 - 41 = 49 deg

`c = 9/sin A = 9/sin 41 = 9/0.66 = 13.63`

`cos A = cos 41 = b/c` --> `b = c(cos 41) = 13.63(0.75) = 10.22`