Question

Find the perimeter of △ABC with vertices A(−5, −5), B(3, −5), and C(−5, 1).

A. 28 units
B. 114 units
C. 24 units
D. 14 units

Answer 1

First, we calculate the lengths of each line using the distance formula.

AB = (3 - -5) = 8

CA = (1 - -5) = 6

CB can be calculated using the hypotenuse equation:

CB = sqrt (AB^2 + CA^2)

CB = sqrt (8^2 + 6^2)

CB = 10

The perimeter is therefore:

perimeter = AB + CA + CB = 8 + 6 + 10

perimeter = 24 units

Abswer:

C. 24 units