Question

Solve the triangle.

a = 10, b = 23, C = 95°
Select one:
a. c ≈ 25.1, A ≈ 26.8°, B ≈ 58.2°
b. c ≈ 25.1, A ≈ 22.8°, B ≈ 62.2°
c. c ≈ 25.9, A ≈ 22.8°, B ≈ 62.2°
d. c ≈ 25.9, A ≈ 59.2°, B ≈ 25.8°

Answer 1

Given 2 sides and 1 included angle, the area of a triangle can be solved using the formula:

Area = ab (sin C)/2

Substituting the given values:

Area = 10 * 23 * (sin 95)/2
Area = 114.56 sq. units