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amrit54
Became the triangle is isosceles AB and BC are equal to each other. Meaning if we solve for x by creating an equation and then substitute x into the equation for BC we will get our answer l.
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ANSWER

[tex] \bar{BC} = 40 \: units[/tex]


EXPLANATION

The given triangle has side
[tex]AB=x+17[/tex]
and

[tex]BC=2x-6[/tex]


We were given that the triangle is an isosceles triangle.

This means that these two sides are equal.

We therefore form the equation below and solve for the value of x.



[tex]x + 17 = 2x - 6[/tex]
We group like terms to get,


[tex]x - 2x = - 6 - 17[/tex]


This implies that,

[tex] - x = - 23[/tex]



[tex]x = 23[/tex]


We substitute this value into the expression for side BC to get ,

[tex]BC=2(23)-6[/tex]


[tex]BC=46-6[/tex]

[tex]BC=40[/tex]

The correct answer is C.

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