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The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm.

5. 7. 8. 1. The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm. B. a) Find the measure of angle BAC. 60°. A. C. b) Find the area of the triangle. diagram not to scale. 17.3 cm 2. A. B. 105 °. 12m. 48 °. C. 2. Find the length of side BC. 25.5 m. F. 37 inches.

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The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm.

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  1. 5 7 8 1 The following diagram shows a triangle with sides 5 cm, 7 cm, 8 cm. B a) Find the measure of angle BAC 60° A C b) Find the area of the triangle. diagram not to scale 17.3 cm2

  2. A B 105° 12m 48° C 2 Find the length of side BC. 25.5 m

  3. F 37 inches 25° D E 35 inches 3 Find the length of side DF. 15.7 inches

  4. J 18° 19 yards L K 12 yards 4 Find the measure of JLK. 29.3°

  5. 5 The figure shows two adjacent triangular fields ABC and ACD where AD = 30 m, CD = 80 m, BC = 50m. ADC = 60° and BAC = 30° D 80 m 60° C Calculate the length AC. Calculate the size of ABC 30 m 50 m AC = 70m ABC  44.4° 30° B A

  6. R 8 12 Q 11 P 6 Find the measure of PRQ. 63.1°

  7. 7 Find the area of quadrilateral ABCD: 113 cm2

  8. 8 Determine the area of: 21.1 km2 7.3km 38° 9.4 km

  9. 9 The diagram shows the plan of a playground with dimensions as shown. Calculate the length BC 89.7 m

  10. 20° 23° 80m A B 10 From point A, the angle of elevation to the top of a tall building is 20°. On walking 80 m towards the building the angle of elevation is now 23°. How tall is the building? 204 m

  11. F E 85° 38° 6 dm D 11 Find the length of side EF. 8.17 dm

  12. 12 The diagram shows the plan of a playground with dimensions as shown. Calculate the area of triangle ABC 1220 m2(3 s.f.)

  13. A 23º C B 15 cm 13 In the diagram, triangle ABC is isosceles. AB = AC, CB = 15 cm and ACB is 23°. Find the length of AB. 8.15 cm

  14. 14 A triangle has sides of length 7cm and 13cm and its area is 42cm2. Find the size of its included angle. 67.4°

  15. 15 In triangle ABC, find the measure of angle B given that A = 46, a = 7 cm, and b = 12 cm No solution

  16. 16 The following diagram shows the side view of a tent. The side of the tent AC is 6 m high. The ground AB slopes upwards from the bottom of the tent at point A, at an angle of 5° from the horizontal. The tent is attached to the ground by a rope at point B, a distance of 8 m from its base. Calculate the length of the rope, BC. 9.57 (3 s.f.)

  17. 17 The following diagram shows the side view of a tent. The side of the tent AC is 6 m high. The ground AB slopes upwards from the bottom of the tent at point A, at an angle of 5° from the horizontal. The tent is attached to the ground by a rope at point B, a distance of 8 m from its base. Calculate the angle CBA that the rope makes with the sloping ground. 38.6°

  18. 18 In triangle ABC, find the length of c given that b = 45 m, A = 56 and B = 72 c = 37.3 m

  19. 19 In triangle ABC, find the measure of angle B given that a = 14, A = 41, and b = 18 B = 57.5 or 122

  20. 20 An aircraft takes off from an airport and flies 400 km in the direction 040°. It then changes course and flies in a direction 160° for 500 km. How far away is the aircraft from the airport? Find the bearing of the aircraft from its starting point. 458 km 111° 160° 400 500 40°

  21. Homework • Review Set 10A, pg349 • #10, 12, 13 • Review Set 10B, pg351 • #8, 9, 10 • Review Set 10C, pg352 • #1, 8-12

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