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Question

The area of a cyclic quadrilateral having lengths 13,14,3,13 is (approximately).

A
110
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B
90
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C
80
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D
120
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Solution

The correct option is C 80
given, a=13,b=14,c=3,d=13
S=a+b+c+d2=13+14+3+132=21.5
A=(Sa)(Sb)(Sc)(Sd)
=(21.513)(21.514)(21.53)(21.513)
=(8.5)(7.5)(18.5)(5.5)
80

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