Question

Find the perimeter????????

Answer 1

Perimeter of triangle is calculated by adding up the three sides of the triangle.

In the given triangle ABC, vertices of triangle are given as $A(-2,2) B(0,4) C(1,-2)$

We calculate the length of side AB by the distance formula which states as :

For the points $(x_{1},y_{1}) and (x_{2},y_{2})$

distance =$\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$

AB = $\sqrt{(0+2)^{2} + (4-2)^{2}} = 2\sqrt{2}$

BC=$\sqrt{(1-0)^{2} + (-2-4)^{2}} = \sqrt{37}$

AC=$\sqrt{(1+2)^{2} + (-2-2)^{2}} = 5$

Perimeter = AB+BC+AC = $=2\sqrt{2} + 5+ \sqrt{37}= 13.911$

So, Perimeter = 14 (Rounded to the nearest tenth)