Answer:
19.68
Step-by-step explanation:
Given:
Vertices : (-5,2), (3,2), (1,6)
To get the length of each side, we need to
Length = √(x2 - x1)^2 + (y2 - y1)^2
calculate the distance between the points ;
Taking, (-5,2), (3,2)
L1 = √(3 -(-5))^2+ (2 -2)^2
L1 =√(3 + 5)^2 + 0^2
L1 = √8^2 = √64 = 8
Taking L2 ; (3,2), (1,6)
L2 = √(1 -3)^2 + (6 - 2)^2
L2 = √ (-2)^2 + 4^2
L2 = √ 4 + 16
L2 = √20 = 4.47
Taking L3 ; (-5,2), (1,6)
L3 = √(1 - (-5))^2 + (6 - 2)^2
L3 = √(1 + 5)^2 + (6 - 2)^2
L3 = √6^2 + 4^2
L3 = √36 + 16 = √52
L3 = 7.21
Therefore, perimeter = L1 + L2 + L3
8 + 4.47 + 7.21 = 19.68