Find the area. Round your answer to the nearest hundredth if necessary.
-Find the area of the triangle with the following measurements: $\mathrm { A } = 50 ^ { \circ } , \mathrm { b } = 25 \mathrm { ft } , \mathrm { c } = 15 \mathrm { ft }$
A) $120.52 \mathrm { ft } ^ { 2 }$
B) $375 \mathrm { ft } ^ { 2 }$
C) $287.27 \mathrm { ft } ^ { 2 }$
D) $143.63 \mathrm { ft } ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a triangle given two sides and an included angle can be found using the formula $ \frac{1}{2}bc\sin(A) $. Substituting the given values, $ \frac{1}{2} \times 25 \times 15 \times \sin(50^\circ) \approx 143.63 \, \text{ft}^2 $.

Find the Area A=50∘,b=25ft,c=15ft\mathrm { A } = 50 ^ { \circ } , \mathrm { b } = 25 \mathrm { ft } , \mathrm { c } = 15 \mathrm { ft }A=50∘,b=25ft,c=15ft

Find the Area $\mathrm { A } = 50 ^ { \circ } , \mathrm { b } = 25 \mathrm { ft } , \mathrm { c } = 15 \mathrm { ft }$