Answer:
The area of a triangle is: A = 23.2 cm²
Explanation:
Given
a = 10 cm
b = 9 cm
The angle ∠C = 31°
To determine
Area of the triangle
Using the formula to determine the area of the triangle
Area = 1/2bc sin C
substituting a = 10, b = 9, and m∠C = 31°
Area = 1/2 × 9 × 10 × sin 31°
Area = 1/2(90) sin 31°
Area = 45 × sin 31°
Area = 23.2 cm²
Therefore, the area of a triangle is: A = 23.2 cm²