Question

With the triangle ABC, if A is 36 degrees and B is 17 degrees, and b=26 inches, find the length a. (Round to one decimal if necessary.) Select one:

a. 52.3
b. 11
c. 34,6
d. 112.7

Answer 1

In a triangle, find angle C by subtracting angles A and B from 180 degrees. Then, use the Law of Sines to solve for the length of side a.

Step-by-step explanation:

In a triangle, the sum of the angles is always 180 degrees. Therefore, we can find angle C by subtracting angles A and B from 180 degrees. Angle C = 180 - A - B = 180 - 36 - 17 = 127 degrees.

Using the Law of Sines, we can find the length of side a. The Law of Sines states that a/sinA = c/sinC. Plugging in the values, we get a/sin36 = 26/sin127. Solving for a, we get a = 26(sin36/sin127) ≈ 52.3 inches.