SOLVING PROBLEMS INVOLVING OBLIQUE TRIANGLES

In triangle PQR, PQ is 7 cm long, QR is 5 cm long, and the angle opposite to side PQ measures 52⁰. Identify the Case of the Law of Sines illustrated by the given measures.

• SSA

• SAA

• ASA

• SAS

Triangle XYZ is an Isosceles triangle, angle X and angle Z are base angles measures 35⁰ and side XZ is 8 cm long. What Case is illustrated by this triangle.

• SSA

• SAA

• ASA

• none of the above

In triangle ABC, AB is 15 cm long, BC is 4 cm long and angle A measures 138⁰. Which of the Cases illustrate the given triangle.

• ASA

• SSA

• SAA

• AAS

Given triangle PQR, PQ is 7 cm long, QR is 5 cm long, and angle R is 52⁰. Which side or angle forms the equation applying the Law of Sines

• angle P

• angle Q

• segment RP

• none of the above

In triangle ABC, AB is 4 cm long, BC is 15 cm long and angle A measures 138⁰. find the measure of angle C. Round your answer to the nearest units.

• 23⁰

• 20⁰

• 10⁰

• 5⁰