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Mark 3 points which are non collinear draw lines through these point taking two at a time and name this lines how many such different lines can be drawn​

Answer»

Given:Diagonal of quadrilateral is 18 cm.Perpendiculars drawn on diagonal from vertices are of 4.3 and 5.6 cm.To Find:What is the AREA of quadrilateral ?Solution: Let ABCD be a quadrilateral in whichAC = Diagonal = 18 cm.DE = PERPENDICULAR on AC = 4.3 cm.BF = Perpendicular on AC = 5.6 cm.Now, in ∆ADC and ∆ABCAC = BaseDE = HeightAC = BaseBF = HeightAs we know that★ Area of ∆ = 1/2(Base)(Height⟹ ar(ADC) = 1/2(18)(4.3)⟹ ar(ADC) = 9(4.3)⟹ ar(ADC) = 38.7 cm²Similarly,⟹ ar(ABC) = 1/2(18)(5.6)⟹ ar(ABC) = 9(5.6)⟹ ar(ABC) = 50.4 cm²∴ Area of ABCD = ar(ADC + ABC)➭ Area of quadrilateral = 38.7 + 50.4 = 89.1 cm²



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