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# What is the area of a triangle whose sides have length √70, √70, and √28?

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What is the area of a triangle whose sides have length √70, √70, and √28?

Feb 22, 2020

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What is the area of a triangle whose sides have length a=√70, b=√70, and c=√28?

Hello Guest!

$$A=\sqrt{s(s-a)(s-b)(s-c)}$$     Heron's formula

$$s=\frac{a+b+c}{2}=\frac{2\cdot \sqrt{70}+\sqrt{28}}{2}=11.0123515764\\ A=\sqrt{s(s-\sqrt{70})(s-\sqrt{70})(s-\sqrt{28})}\\$$

$$A=21$$

!

Feb 22, 2020
edited by asinus  Feb 22, 2020