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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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**9.5 Apply the Law of Sinesday 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.**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**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.**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.**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.**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.**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.**How do you use the law of sines to find the area of a**triangle?**9.5 Assignment, day 3**p. 590, 29-41 all No work is the same as a missing problem.

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