Find the approximate perimeter of $$\triangle A B C$$ plotted below. ![](http://admin.getprephub.com/media/editor/ag13_20230214204411300862.png)

The co-ordinate of $$A(-4,1), B(-2,3)$$ and $$C(3,-4)$$ respectively, By distance formula, $$A B =\sqrt{(-4+2)^{2}+(1-3)^{2}} $$ $$=\sqrt{2^{2}+2^{2}}-\sqrt{4+4}=\sqrt{8} \text { unit } $$ $$B C =\sqrt{(-2-3)^{2}+(3+4)^{2}} $$ $$=\sqrt{25+49}=\sqrt{74} \text { unit }$$ Perimeter $$\triangle A B C=\overline{A B}+\overline{B C}+\overline{A C}$$ $$=\sqrt{74}+\sqrt{74}+\sqrt{8}$$ $$\approx 20.0$$ unit

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MCQ

Find the approximate perimeter of $\triangle A B C$ plotted below.

Select all that apply :

$20.0$

$21 \cdot 2$

$22.4$

$23.6$

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