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Find area of cyclic Quadrilateral with sides 20, 16, 9 and 5 cm.
1. 120 cm2
2. 122 cm2
3. 121 cm2
4. 123 cm2

1 Answer

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Correct Answer - Option 1 : 120 cm2

Given:

Sides of cyclic Quadrilateral 20, 16, 9 and 5 cm

Concept used:

Quadrilaterals

Calculation:

Let the semi perimeter of cyclic Quadrilateral be P

P = \(\frac{{20 \ +\ 16 \ +\ 9 \ +\ 5}}{2}\)

P = 25

Area of Cyclic Quadrilateral = \(\sqrt {\left( {p - a} \right)\left( {p - b} \right)\left( {p - c} \right)\left( {p - d} \right)} \)

Area = \(\sqrt {\left( {25 - 20} \right)\left( {25 - 16} \right)\left( {25 - 9} \right)\left( {25 - 5} \right)} \)

Area = \(\sqrt {5 \times 9 \times 16 \times 20} \)

Area = 120 cm2

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