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

Algebra ->  Triangles -> 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      Log On


   

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) About Me  (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 AB=BC and 7x%2B3=8x-9




7x%2B3=8x-9 Start with the given equation.


7x=8x-9-3 Subtract 3 from both sides.


7x-8x=-9-3 Subtract 8x from both sides.


-x=-9-3 Combine like terms on the left side.


-x=-12 Combine like terms on the right side.


x=%28-12%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=12 Reduce.


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Answer:

So the answer is x=12

So AB=7%2812%29%2B3=87, BC=8%2812%29-9=87, and AC=5%2812%29%2B6=66