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What is BC ?

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What is BC ?

AngelRay  Nov 4, 2017
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#1
+541
+1

This is an isosceles triangle. That means the 2 sides touching the = angles have equal length. That means we know $$4x+4=6x-14$$ .

To solve, we need to find x. I'll just quickly go through this: $$4x+4=6x-14\rightarrow4 = 2x - 14\rightarrow18=2x\rightarrow x=9$$ .

Now that we have x by setting the 2 sides equal to each other, we know the length of the bottom side by substituting 9 in for x, giving us $$2x+7=2(9)+7=18+7\rightarrow x =24$$ .

helperid1839321  Nov 4, 2017
#2
+85622
+1

Angle ABC  = Angle ACB...so....AB = AC.....so

4x + 4  = 6x - 14         add 14 to both sides, subtract 4x from both sides

18  = 2x    ⇒    x  = 9

So

BC  =   2x + 7   =    2*9 + 7  =  25

CPhill  Nov 4, 2017

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