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9.5 Apply the Law of Sines day 3

9.5 Apply the Law of Sines day 3. How do you use the law of sines to find the area of a triangle?. Find the Area of a Triangle. When you know the lengths of two sides and the measure of the included angles, you can find the area of a triangle.

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9.5 Apply the Law of Sines day 3

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  1. 9.5 Apply the Law of Sinesday 3 How do you use the law of sines to find the area of a triangle?

  2. Find the Area of a Triangle When you know the lengths of two sides and the measure of the included angles, you can find the area of a triangle.

  3. Black-necked stilts are birds that live throughout Florida and surrounding areas but breed mostly in the triangular region shown on the map. Find the area of this region. Biology

  4. Area = bc sin A (125) (223) sin 54.2° = 11,300 1 1 2 2 ANSWER The area of the region is about 11,300 square miles. SOLUTION The area of the region is: Write area formula. Substitute. Use a calculator.

  5. Find the area of ABCwith the given side lengths and included angle. ANSWER The area of the region is about 50.4 square units. (10) (14) sin 46° = Area = ab sin C 50.4 1 1 2 2 7. a = 10,b = 14,C = 46° SOLUTION The area of the region is: Write area formula. Substitute. Use a calculator.

  6. Find the area of ABCwith the given side lengths and included angle. ANSWER The area of the region is about 73.4 square units. (19) (8) sin 75° = Area = ac sin B 73.4 1 1 2 2 8. a= 19, c = 8,B = 75° SOLUTION The area of the region is: Write area formula. Substitute. Use a calculator.

  7. Find the area of ABCwith the given side lengths and included angle. ANSWER The area of the region is about 33.3 square units. (11) (7) sin 120° = Area = bc sin A 33.3 1 1 2 2 9. b = 11,c = 7,A = 120° SOLUTION The area of the region is: Write area formula. Substitute. Use a calculator.

  8. Find the area of ABCwith the given side lengths and included angle. ANSWER The area of the region is about 239.7 square units. (20) (24) sin 87° = Area = ab sin C 239.7 1 1 2 2 10. a = 20,b = 24,C = 87° SOLUTION The area of the region is: Write area formula. Substitute. Use a calculator.

  9. How do you use the law of sines to find the area of a triangle?

  10. 9.5 Assignment, day 3 p. 590, 29-41 all No work is the same as a missing problem.

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