Question

Find the Perimeter of the triangle. Round 2 decimal places.

Answer 1

The formula for calculating length of a side of triangle is:

`d= \sqrt{( x_(2)- x_(1)) ^(2)+(y_(2)-y_(1))^(2) }`
And as perimeter is just the sum of length of all side, we will calculate the length of each side and then sum them up.

1. Side AB:

`d_(1)= \sqrt{( 3- (-2)) ^(2)+(0-3)^(2) }`
d₁= √34

2.Side AC

`d_(2)= \sqrt{( (-4)- (-2)) ^(2)+((-3)-3)^(2) }`
d₂=2√10

3.Side BC

`d_(3)= \sqrt{( (-4)- 3) ^(2)+((-3)-0)^(2)`
d₃=√58

Perimeter

`P= √(34)+ 2√(10) + √(58)`
P=19.77