Answer:
AB = 8 units, AC = 8 units, and BC = 4 units
Step-by-step explanation:
We can use the given ration of 2:1:2. We are told that AC and AB both represent 2 parts of the perimeter of the triangle, so they are equal in length.
So what we get is
AC = AB or
2x = x + 4
we can solve the above equation to find x...
2x = x + 4
x = 4 (subtract 'x' from both sides to isolate x)
Now plug in 4 to the x values to find the length if the sides for AB and AC
AC = 2x = 2(4) = 8
AB = x + 4 = 4 + 4 = 8
We are told that BC represents 1 part of the ration, so it is one half as long as the other sides, since they each represent 2 parts (1 is half of 2). Half of 8 is 4, so we have the correct values
