You are given an extended ratio that compares the lengths of the sides of the triangle. find the length of each side. ac : bc : ab is 2 : 1 : 2

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

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

step-by-step explanation:

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