To get the perimeter, we have first find the distance between each pair of points, which will give length of the sides.
In doing this, we will use distance formula between two points.
(x2 - x1) and (y2 - y1) = √(x2 - x1)² + (y2 - y1)²
Hence, let the length of side be L1, L2 and L3
(4 , -3), (-2, 0) and (-1, -7)
L1 = √((-2) - (4))² + ((0) - (-3))²
= √(-2 - 4)² + (0 + 3)²
= √-6² + 3²
= √36 + 9
= √45
L1 = 6.7082
L2 = √((-1) - (-2))² + ((-7) - (0))²
= √(- 1 + 2)² + (-7 - 0)²
= √1² + (-7)²
= √1 + 49
= √50
L2 = 7.0711
L3 = √(-1 - 4)² + ((-7) - (-3))²
= √(-5)² + (-7 + 3)²
= √25 + 16
= √41
L3 = 6.4031
Hence the Perimeter is:
6.7082 + 7.0711 + 6.4031
= 20.1824