7.2.29 Solve the triangle ABC, if the triangle exists A-40.5° a- 8.3 m b-10.7 m

Question

7.2.29 Solve the triangle ABC, if the triangle exists A-40.5° a- 8.3 m b-10.7 m Select the correct choice below and fill in the answer boxes within the choice. 0 A. There are 2 possible solutions for the triangle. The measurements for the solution with the longer side c are as follows The length of side c- Round to the nearest (Round to the nearest (Round to the nearest tenth as tenth as needed.) The measurements for the solution with the shorter side c are as follows 9 tenth as needed.) needed.) (Round to the nearest tenth as needed.) (Round to the nearest tenth as needed.) The length of side c- (Round to the nearest tenth as needed) O B. There is only 1 possible solution for the triangle 0 The measurements for the remaining angles B and C and side c are as follows. The length of side c= Round to the nearest (Round to the nearest (Round to the nearest tenth as tenth as needed.) tenth as needed.) ° C. There are no possible solutions for this triangle.

Explanation / Answer

Using sine law

sin 40.5 / 8.3 = sin B/10.7

sin B = 10.7 sin 40.5 / 8.3

B1=56.9 degree

B2=180-B1= 123.1 degree

C1=180-A-B1=82.7degree

C2=180-A-B2=16.3 degree

sin A/a = sin C1/c1

sin40.5 /8.3=sin82.7/c1

c1=12.7

sinA/a= sin C2/c2

sin 40.5 / 8.3 = sin 16.3 / c2

c2 =3.6

Related Questions

Navigate

• Browse (All)
• Browse 7
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.