Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Solution:
ABCD is a quadrilateral with AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Semi-perimeter of
cm
Using Heron’s formula, Area of
(1)
Semi-perimeter of
cm
Using Heron’s formula, Area of
(2)
Area of quadrilateral ABCD =area of
+ area of
Using (1) and (2) in the above equation, we get
Area of quadrilateral ABCD
(approx.)
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