Question

The sides of the cyclic quadrilateral are 36cm,85cm,75cm,40cmand 77cm respectively.find it's area

Answer 1

Step-by-step explanation:

$area \: of \: cylic \: quadrilateral = \sqrt{s(s - a)(s - b)(s - c)(s - d)(s - e)}$

$semiperimetr = s = \frac{ (a + b + c + d + e)}{2} = \frac{36 + 85 + 75 + 40 + 77}{2} = \frac{313}{2} = 156.5$

$\sqrt{156.5(156.5 - 36)156.5 - 85)(156.5 - 75)156.5 - 40)156.5 - 77)} = \sqrt{156.5 \times 120.5 \times 71.5 \times 81.5 \times 116.5 \times 79.5} = 1007888.269(approx)$

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