SOLUTION: Triangle ABC is isosceles with base AC. If AB=7x+3, CB=8x-9, and AC=5x+6, find the lengths of the sides of the triangle

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Question 147468: Triangle ABC is isosceles with base AC. If AB=7x+3, CB=8x-9, and AC=5x+6, find the lengths of the sides of the triangle
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
If the base is AC, then the two equal sides are AB and BC (or CB)

Since the two equal sides are AB and BC, this means that and




Start with the given equation.


Subtract from both sides.


Subtract from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


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Answer:

So the answer is

So , , and

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