Answer:
A to C = 25
A to B = 13
C to B = 37
Step-by-Step Explanation:
Perimeter = 75
Sides:
2x + 3
3x + 4
2x - 9
1. Equal the sides added together to the perimeter
75 = 2x + 3 + 3x + 4 + 2x - 9
2. Simplify Like terms
2x + 3 + 3x + 4 + 2x - 9 = 7x - 2
3. Place the equation back together
75 = 7x - 2
4. Isolate the variables and numbers
75 = 7x - 2
+2 +2
77 = 7x
5. Simplify the equation
77 = 7x
/7 /7
11 = x
6. Substitute the value of x into the side lengths.
2x + 3 = 2(11) + 3 = 22 + 3 = 25
3x + 4 = 3(11) + 4 = 33 + 4 = 37
2x - 9 = 2(11) - 9 = 22 - 9 = 13
