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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

 

 

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

\(A=21\)

laugh  !

 Feb 22, 2020
edited by asinus  Feb 22, 2020

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