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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

Find the perimeter of ABC with vertices A5 5 B3 5 and C5 1 A 28 units B 114 units C 24 units D 14 units class=

Respuesta :

barnuts

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

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