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Using Trigonometry to find area of a triangle

Using Trigonometry to find area of a triangle. The area of a triangle is one half the product of the lengths of two sides and sine of the included angle. Area of ABC = ½ bc (sin A). B. a. c. C. A. b. Area of a Triangle. In . ABC is a non-right angled triangle. .

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Using Trigonometry to find area of a triangle

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  1. Using Trigonometry to find area of a triangle • The area of a triangle is one half the product of the lengths of two sides and sine of the included angle. • Area of ABC = ½ bc(sin A) B a c C A b

  2. Area of a Triangle In ABC is a non-right angled triangle. Draw the perpendicular, h, from C to BA. C - - - - - (1) b a a Substituting for h in (1) B A c

  3. Area of a Triangle Area === Any side can be used as the base, so • The formula always uses 2 sides and the angle formed by those sides

  4. Area of a Triangle Area === C b a a B A c Any side can be used as the base, so • The formula always uses 2 sides and the angle formed by those sides

  5. Area of a Triangle Area === C b a a B A c Any side can be used as the base, so • The formula always uses 2 sides and the angle formed by those sides

  6. Area of a Triangle Area === C b a a B A c Any side can be used as the base, so • The formula always uses 2 sides and the angle formed by those sides

  7. Example R 8 cm Q P 7 cm 1. Find the area of the triangle PQR. Solution: We must use the angle formed by the 2 sides with the given lengths.

  8. Example R 8 cm Q P 7 cm 1. Find the area of the triangle PQR. Solution: We must use the angle formed by the 2 sides with the given lengths. We know PQ and RQ so use angle Q

  9. Example R 8 cm Q P 7 cm cm2 (3 s.f.) 1. Find the area of the triangle PQR. Solution: We must use the angle formed by the 2 sides with the given lengths. We know PQ and RQ so use angle Q

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