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√(2)`

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

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

Perimeter = AB+BC+AC =
`=2√(2) + 5+ √(37)= 13.911`

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