Determine the area of a triangle having the following measurements.Round your answer to two decimal places. C = 55°43',a = 6.5,and b = 14
A)30.08 sq.units
B)45.11 sq.units
C)33.84 sq.units
D)41.35 sq.units
E)37.59 sq.units

Question

Quizplus · Accepted Answer

To find the area of a triangle given two sides and the included angle, you can use the formula: Area = 1/2 * a * b * sin(C), where a and b are the sides, and C is the included angle. First, convert the angle C to decimal form: 55°43' = 55.717°. Then, use the formula with a = 6.5, b = 14, and C = 55.717° (in radians for the sine function). Area = 1/2 * 6.5 * 14 * sin(55.717° in radians) ≈ 37.59 square units.

Determine the Area of a Triangle Having the Following Measurements