Find the Area of an Oblique Triangle Using the Sine Function
-$\mathrm { A } = 26 ^ { \circ } , \mathrm { b } = 17$ meters, $\mathrm { c } = 5$ meters
A) 19 square meters
B) 10 square meters
C) 38 square meters
D) 40 square meters

Question

Quizplus · Accepted Answer

The area of an oblique triangle can be found using the sine function:$$A = \frac{1}{2}bc\sin A$$where A is the angle between sides b and c.In this case, we have:$$A = 26 ^ { \circ } , \mathrm { b } = 17\) meters, $\mathrm { c } = 5$ metersSo, the area of the triangle is:$$A = \frac{1}{2}(17)(5)\sin 26 ^ { \circ } = 19 \text{ square meters}$$Therefore, the correct answer is A.

Find the Area of an Oblique Triangle Using the Sine A=26∘,b=17\mathrm { A } = 26 ^ { \circ } , \mathrm { b } = 17A=26∘,b=17

Find the Area of an Oblique Triangle Using the Sine $\mathrm { A } = 26 ^ { \circ } , \mathrm { b } = 17$