Find the Area of an Oblique Triangle Using the Sine Function
-$\mathrm { A } = 27 ^ { \circ } , \mathrm { b } = 14$ inches, $\mathrm { c } = 5$ inches
A) 16 square inches
B) 31 square inches
C) 14 square inches
D) 33 square inches

Question

Quizplus · Accepted Answer

The area of an oblique triangle can be found using the formula $A = \frac{1}{2}bc\sin(A)$, where $A$ is an angle, and $b$ and $c$ are the lengths of the sides adjacent to angle $A$. Substituting the given values, $A = \frac{1}{2} \times 14 \times 5 \times \sin(27^\circ)$. Calculating this gives an area close to 16 square inches, making option A correct.

Find the Area of an Oblique Triangle Using the Sine A=27∘,b=14\mathrm { A } = 27 ^ { \circ } , \mathrm { b } = 14A=27∘,b=14

Find the Area of an Oblique Triangle Using the Sine $\mathrm { A } = 27 ^ { \circ } , \mathrm { b } = 14$