Two triangles can be formed using the given measurements. Solve both triangles.
-$$\mathrm { B } = 45 ^ { \circ } , \mathrm { a } = 14 , \mathrm {~b} = 10$$
A) $\mathrm { A } = 8.1 ^ { \circ } , \mathrm { C } = 126.9 ^ { \circ } , \mathrm { c } = 8.8 ; \mathrm { A } = 171.9 ^ { \circ } , \mathrm { C } = 53.1 ^ { \circ } , \mathrm { c } = 8.8$
B) $\mathrm { A } = 81.9 ^ { \circ } , \mathrm { C } = 53.1 ^ { \circ } , \mathrm { C } = 8.8 ; \mathrm { A } = 98.1 ^ { \circ } , \mathrm { C } = 36.9 ^ { \circ } , \mathrm { c } = 8.8$
C) $\mathrm { A } = 8.1 ^ { \circ } , \mathrm { C } = 126.9 ^ { \circ } , \mathrm { C } = 11.3 ; \mathrm { A } = 171.9 ^ { \circ } , \mathrm { C } = 53.1 ^ { \circ } , \mathrm { C } = 11.3$
D) $\mathrm { A } = 81.9 ^ { \circ } , \mathrm { C } = 53.1 ^ { \circ } , \mathrm { C } = 11.3 ; \mathrm { A } = 98.1 ^ { \circ } , \mathrm { C } = 36.9 ^ { \circ } , \mathrm { c } = 8.5$

Question

Quizplus · Accepted Answer

Using the Law of Sines, we find angle A = 81.9° and angle C = 53.1° for the first triangle, and angle A = 98.1° and angle C = 36.9° for the second triangle. Calculating side c using the Law of Sines gives approximately 11.3 for the first triangle and 8.5 for the second triangle.

Two Triangles Can Be Formed Using the Given Measurements B=45∘,a=14, b=10\mathrm { B } = 45 ^ { \circ } , \mathrm { a } = 14 , \mathrm {~b} = 10B=45∘,a=14, b=10

Two Triangles Can Be Formed Using the Given Measurements $\mathrm { B } = 45 ^ { \circ } , \mathrm { a } = 14 , \mathrm {~b} = 10$