Direction: Choose the letter of the correct answer. 1. Which of the following cases of oblique triangle cannot be solved using Law of Sine? C. SAA case A. SSS case B. ASA case D. SSA case 7. f angle A=81^ a 1 angle A=C=32^ what is the mzB? A * .57 degrees * B * .67 degrees C. 77 degrees D. 879 8. What is the value of side b, fc = 20 angle C=36^ and angle B=42^ o^ prime A. 18.60 B. 20.55 C. 19.24 D. 22.77 2. In solving oblique triangles, in which of the following situations can the Law of Cosine be applied? A. two sides and the included angle are known B. two angles and a non-included side are known C. two angles and an included side are known D. Two sides and an angle opposite one of them are given. For numbers 9-11: Refer to the figure below. triangle ABC is an oblique triangle. B 3. Given the lengths of sides and the measures of the angles of oblique triangles, which of these triangles can be solved by the Law of Sine? A. a = 1t , b = 12andc = 15 B. a = 5, b = 8 and angle C=120^ . C. .A=40^ . angle B=60^ ,and c=7cm D.. a 12, b = 17 and angle C=118^ 9. If a = 3, b = 7 and c = 8 then what is the m angle C/ A. 68 degrees B. 78 degrees C. 88° D. 989 10. What is side c, fc = 10 and b = 12 and angle A= 3707 A. 6.23 C. 8.23 B. 7.23 D. 9.23 4. Which of the following represent the Law of Cosine A. a ^ 2 = b ^ 2 + c ^ 2 - 2bc(cos A) B. a ^ 2 = b ^ 2 + c ^ 2 - 2ac(cos A) C. c ^ 2 = a ^ 2 + b ^ 2 - 2ac(cos C) D. b ^ 2 = a ^ 2 + c ^ 2 - 2ab(cos B) 11. What is the area of a triangle if a = 10 , b = 8 and c=14? A. 39 sq. units C. 49 sq. units D. 54 sq. units B. 43 sq, units 5. Which of the following is the correct formula for Sine Law? A. a/(sin A) = (sin B)/b = c/(sin c) B. (sin a)/A = (sin b)/B = (sin c)/C 12-13. A boy plays sticks on the playground. He lays them down to form a triangle. The sizes of the sticks are 13 cm, 17 cm, and 23 cm long. What is the measure of the angle included by the sides whose lengths are 17 cm and 23 cm?(roumc off to the nearest degree) Show your solution. A. 27 degrees B. 35 degrees C. 340 D. 56° For numbers 6-8: Refer to the figure below. triangle ABC is an oblique triangle. 14-15. What is the area of the triangle formed from the sticks if the angle between 17cm and 22cm is 43°? Show your solution, A. 110.87cm² B. 127.53cm C. D. 147.87c * m ^ 2 132.87c * m ^ 2 A 6. What is the value of side a, fc = 27 , angle A=43^ and angle C=77 7 A. 13 B. 17.05 C. 18.90 D. 23.70
