What is the area of a triangle whose sides have length a=√70, b=√70, and c=√28?
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\(A=\sqrt{s(s-a)(s-b)(s-c)}\) Heron's formula
\(s=\frac{a+b+c}{2}=\frac{2\cdot \sqrt{70}+\sqrt{28}}{2}=11.0123515764\\ A=\sqrt{s(s-\sqrt{70})(s-\sqrt{70})(s-\sqrt{28})}\\ \)
\(A=21\)
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