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2 Application Question: Encik Halim would like to cover his lawn with carpet grass. The shape of his lawn is shown in the diagram below, a quadrilateral ABCD. Find the area of the carpet grass needed. 2 m 5 m 4 m 100 o A B C D o 45
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3 Implementation Step 1 : ? 4 m 5 m A C D o 2 m 4 m 5 m A B C D 45 o 100 2 m ? A B C 100 o 45 o
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4 Sine rule is used when B A C b c b) Two sides and one non-included abgle are given B A C b a θ a) Two angles and one side are given
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5 Step 2 i. Using Sine Rule, find the length of its AC. 2.785 m 2 m 4 m 5 m A B C D 2 m 2.785 m 100 o A B C 45 o K1N1
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6 ii. Area of the triangle ABC o 2 m A B C 2.785 m 35 K1N1
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7 Cosine rule is used when B A C b c b) Three sides given B A C b c a θ a) Two sides and one included angle is given
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8 Step 3 iii. Using the cosine rule , find the included angle 4 m 5 m θ C A D 2.785 m K1N1
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9 Area of the triangle ACD = Area of the quadrilateral = K1N1 K1N1
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10 The End All the Best!! ^^ A +