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Find the area of a triangle with side lengths \(\frac43,\) 2, and \(\frac83.\)

 Apr 6, 2020
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Find the area of a triangle with side lengths 4/3, 2 and 8/3.

 

Hello Gast!

 

\(s=\frac{a+b+c}{2}\)

\(s=\frac{4}{3\cdot 2}+\frac{2}{2}+\frac{8}{3\cdot 2}=\frac{18}{6}\\ s=3\)

 

Heron

\(A=\sqrt{s(s-a)(s-b)(s-b)}\\ A=\sqrt{3(3-4/3)(3-2)(3-8/3)}\\ A=\sqrt{3\cdot 5/3\cdot 1\cdot 1/3}\\ A=\sqrt{\frac{15}{9}}\)

\(A=1.291\)

laugh  !

 Apr 6, 2020
edited by asinus  Apr 6, 2020
edited by asinus  Apr 6, 2020

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