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Find the area of quadrilateral ABCD …

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Find the area of quadrilateral ABCD in which AB=3cm BC=4cm. CD=4cm. DA =5cm and AC =5cm
  • 1 answers

Gaurav Seth 6 years, 8 months ago

For ΔABC
a = 4 cm
b = 5 cm
c = 3 cm
∵ a2 + c2 = b2


 

∴ ΔABC is right angled with ∠B = 90°.
∴ Area of right triangle ABC


 

For ΔACD
a = 4 cm b = 5 cm
c = 5 cm

 

∴ Area of the ΔACD

= 2 x 4.6 cm2 (approx.)
= 9.2 cm2 (approx.)
∴ Area of the quadrilateral ABCD
= Area of ΔABC + Area of ΔACD
= 6 cm2 + 9.2 cm2
= 15.2 cm2, (approx.)

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