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# i need help!

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Find the area of a cyclic quadrilateral with sides 2, 2, 3, 1.

Jan 11, 2020

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Find the area of a cyclic quadrilateral with sides 2, 2, 3, 1.

Formula: $$\boxed{ A = \sqrt{(s-a)(s-b)(s-c)(s-d)}\\ \text{where }s \text{ is the semiperimeter }\\s=\dfrac{a+b+c+d}{2} }$$

$$\begin{array}{|rcll|} \hline s &=&\dfrac{2+2+3+1}{2} \\ \mathbf{s} &=& \mathbf{4} \\ \hline \end{array}$$

$$\begin{array}{|rcll|} \hline A &=& \sqrt{(4-2)(4-2)(4-3)(4-1)} \\ A &=& \sqrt{2*2*1*3} \\ \mathbf{A} &=& \mathbf{2\sqrt{3}} \\ \hline \end{array}$$

Jan 11, 2020