Determine the area of a triangle having the following measurements. Round your answer to two decimal places. $$C = 59 ^ { \circ } 24 ^ { \prime } , a = 6 , \text { and } b = 14.5$$
A) 37.44 sq. units
B) 33.70 sq. units
C) 29.95 sq. units
D) 44.93 sq. units
E) 41.19 sq. units

Question

Quizplus · Accepted Answer

The area of a triangle is given by the formula $A = \frac{1}{2}ab\sin C$. Substituting the given values, we get $A = \frac{1}{2}(6)(14.5)\sin 59^\circ 24^\prime \approx 37.44$ sq. units.

Determine the Area of a Triangle Having the Following Measurements C=59∘24′,a=6, and b=14.5C = 59 ^ { \circ } 24 ^ { \prime } , a = 6 , \text { and } b = 14.5C=59∘24′,a=6, and b=14.5

Determine the Area of a Triangle Having the Following Measurements $C = 59 ^ { \circ } 24 ^ { \prime } , a = 6 , \text { and } b = 14.5$