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2. Find the area of the pentagon CHINA, if CN = 12 cm,
CJ = 10 cm, CB = 8 cm, CG = 7 cm, HG = 7 cm,
IJ = 9 cm and AB = 5 cm.
Answers
Answer:
I don't know
Step-by-step explanation:
sorry sir sorry sir
Area of Pentagon CHINA = 87.5 cm²
Step-by-step explanation:
Area of CHINA
= Area of Δ CGH + Area of Trapezium HGJI + Area of Δ IJN + Area of ΔCAN
Area of Δ CGH = (1/2) CG * GH = (1/2) * 7 * 7 = 24.5 cm²
Area of Trapezium HGJI = (1/2) (HG + IJ) * GJ
GJ = CJ - CG = 10 - 7 = 3
= (1/2) (7 + 9)3
= 24 cm²
Area of Δ IJN = (1/2)* IJ * JN = (1/2) * 9 * (CN - CJ)
= (1/2) * 9 * (12 - 10)
= 9 cm²
Area of ΔCAN = (1/2) CN * AB
= (1/2) * 12 * 5
= 30 cm²
Area of Pentagon CHINA = 24.5 + 24 + 9 + 30 = 87.5 cm²
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