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Triangle ABC has a perimeter of 40 inches. What is AC?
(x+1) in
AC =
C
2x in
(x+3) in
B

Select the correct answer from the dropdown menu Triangle ABC has a perimeter of 40 inches What is AC x1 in AC C 2x in x3 in B class=

Respuesta :

Answer:

AC = 10 in

Step-by-step explanation:

the perimeter is the sum of the three sides of the triangle.

Given perimeter = 40 in

sum the 3 sides, equate to 40 and solve for x

2x + x  3 + x + 1 = 40 ( simplify left side )

4x + 4 = 40 ( subtract 4 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Then

AC = x + 1 = 9 + 1 = 10 in