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# Find the area of a triangle with side lengths 2, and ​

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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

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

$$A=1.291$$

!

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