1. If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of the sides opposite the corresponding angles, then the Law of Cosines states that (1). (1) O b2 =a2 -c2 - 2ac cos B. O a2 = b2 + c2 + 2bc cos A. O b2 = a2 + c2 - 2ac cos B. O b2 = a2 - c2 + 2ac cos B. 2. To solve an oblique triangle given two sides and an included angle (SAS), the first step is to find the missing using the Law of Then we use the Law of to find the angle opposite the shorter of the two given sides. This angle is always The third angle is found by subtracting the measure of the given angle and the angle found in the second step from To solve an oblique triangle given two sides and an included angle (SAS), the first step is to find the missing (1) using the Law of (2) Then we use the Law of (3) to find the angle opposite the shorter of the two given sides. This angle is always (4) The third angle is found by subtracting the measure of the given angle and the angle found in the second step from (5) (1) O triangle (2) O Angles. (3) O Triangles (4) O oblique. (5) O 180 O angle O Cosines O Sines O equilateral. O 360 O area O Triangles. O Cosines O acute O 270 O side O Sines. O Angles O obtuse. O 90 3. To solve an oblique triangle given three sides (SSS), the first step is to find the angle opposite the longest side using the Law of Then we find either of the two remaining acute angles using the Law of To solve an oblique triangle given three sides (SSS), the first step is to find the angle opposite the longest side using the Law of (1) Then we find either of the two remaining acute angles using the Law of (2). (1) O Triangles. (2) O Cosines. O Cosines O Triangles. O Sines O Angles. O Angles. O Sines.4. Complete the sentence below. Paper size Letter Print Heron's formula for the area of a triangle with sides a, b, and c is Area = where s = Heron's formula for the area of a triangle with sides a, b, and c is Area = (1) where s = (2) (1) O V(s-a)(s -b)(s - c) (2) O s(s - a)(s - b)(s - c) O = ( a + b + c ) . O Vs(a)(b)(c) O a + b+ c. O (s(s - a)(s -b)(s -c) O 2(a + b + c). O va +b + c. 5. Solve the triangle. b =9 a =2, b=9, c=8 a = 2 A C = 8 B A = (Do not round until the final answer. Then round to the nearest degree as needed.) B = (Do not round until the final answer. Then round to the nearest degree as needed.) C = (Do not round until the final answer. Then round to the nearest degree as needed.) 6. Solve the triangle. a = 10, b=9, c=7 (Round to the nearest degree as needed.)7. Use Heron's formula to find the area of the triangle. Round to the nearest square foot. Side a = 6 feet Side o = 6 feet Side is: 5 feet The area is approximately square feet. Solve the triangle. Round the lengths of sides to the nearest tentw and angles to the nearest degree. C m 0 (Do not round until the final answer. Then round to the nearest degree as needed.) (Do not round until the final answer. Then round to the nearest tenth as needed.) WE\" (Do not round until the final answer. Then round to the nearest degree as needed.) ME\" (Do not round until the final answer. Then round to the nearest degree as needed.) 9. The three given points are the vertices of a triangle. Solve the triangle: rounding lengths of sides to the nearest tenth and angle measures to the nearest degree. NOD): Bt 3,5), C(3, 1) What is the length of side AB\"? What is the length of side AC? What is the length of side BC? :I : (Do not round until the final answer. Then round to the nearest tenth as needed.) What is the measure of angle A? What is the measure of angle B? What is the measure of angle C? (Do not round until the final answer. Then round to the nearest degree as needed.) 10. Find the distance across the lake from A to C, to the nearest yard, using the measurements shown in the figure. 160 yd 85 135 yd B The distance across the lake from A to C is yards. Round to the nearest yard as needed.) 11. The figure shows a 700 foot tower on the side of a hill that forms a 9" angle with the horizontal. Find the length of each of the two guy wires that are anchored 70 feet uphill and downhill from the tower's base and extend to the top of the tower. 700 feet 90 70 feet 70 feet Part (a) What is the length of the uphill guy wire? feet (Round to the nearest tenth as needed.) Part (b) What is the length of the downhill guy wire? feet (Round to the nearest tenth as needed.) 12. Select the correct choice that completes the sentence below. Heron's Formula is used to find the area of (1) triangles. (1) O ASA O SAS O SSS O AAS13. Watch the video and then solve the problem given below. Click here to watch the video.1 Find the area of the triangle specified below. a =15 meters, b: 23 meters, c = 24 meters A: square meters (Romd to the nearest integer as needed.) 1: http:Hhttpsmediaplayerpearsoncmg.comfassetsszat6e_07_02_03 14. Watch the video and then solve the problem given below. Click here to watch the video.2 Find the area of the triangle specified below. a = 29 meters, b: 11 meters, c = 21 meters A: square meters (Romd to the nearest integer as needed.) 2: http:Hhttpsmediaplayerpearsoncmg.comrassetsszat6e_07_02_03 15. A piece of commercial real estate is priced at $475 per square foot. Find the cost, to the nearest dollar. ofa triangular lot measuring 220 feet by 350 feet by 420 feet. The cost ofthe lot is $|:|. (Round to the nearest dollar as needed.)