Q. 23.8( 10 Votes )

The sides of a qu

Answer :

Let consider a quadrilateral ABCD


In ∆ADC;


AC = = 25 cm


In ∆ABC


AB = a = 26 cm, BC = b = 27 cm, AC = c = 25 cm


Let a, b and c are the sides of triangle and s is


the semi-perimeter, then its area is given by:


A = where



= = 39


A1 =


A1 = = cm2


In ∆ADC;


DA = a = 24 cm, CD = b = 7cm, AC = c = 25 cm


Let a, b and c are the sides of triangle and s is


the semi-perimeter, then its area is given by:


A = where [Heron’s Formula]


= = 28


A2 =


A2 = = cm2


Therefore area of quadrilateral ABCD = A1 + A2 = 291.85+84 = 375.85 cm2


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