9514 1404 393
Answer:
D. 36 units
Step-by-step explanation:
Using the distance formula, we find the length of AB to be ...
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15
The line BC is horizontal, so its length is the difference of the x-coordinates:
BC = 7 -(-2) = 9
The line AC is vertical, so its length is the difference of the y-coordinates:
AC = 9 -(-3) = 12
The sum of the lengths of the sides of the triangle is ...
P = 15 + 9 + 12 = 36
The perimeter is 36 units.
