Question

What is the perimeter of A ABC?

Round each step to the nearest tenth.
Enter your answer in the box.
units
B(-1, 1)
-3 -2
W
-1
3
2
0
-3
C (0,-3)
5
6
A (5,-1)

Answer 1

Step 1) Find the length of side AB:

Distance formula: d = √(x2 - x1)^2 + (y2 - y1)^2

d = √((-1 - 5)^2 + (1 + (-1))^2)

= √(36 + 2)

= 6.1

Step 2) Find the length of side AC:

d = √((0 - 5)^2 + (-3 - (-1))^2)

= √(25 + 2)

= 5.1

Step 3) Find the length of side BC:

d = √((0 + 1)^2 + (-3 - 1)^2)

= √(1 + 4)

= 3.2

Step 4) Find the perimeter:

Perimeter = length of side AB + length of side AC + length of side BC

= 6.1 + 5.1 + 3.2

= 14.4 units

Therefore, the perimeter of ABC is 14.4 units.

Step-by-step explanation: