Question

Triangle ABC is isosceles. What is the length of segment BC?

Answer 1

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.

Answer 2

ANSWER

$\bar{BC} = 40 \: units$


EXPLANATION

The given triangle has side
$AB=x+17$
and

$BC=2x-6$


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.



$x + 17 = 2x - 6$
We group like terms to get,


$x - 2x = - 6 - 17$


This implies that,

$- x = - 23$



$x = 23$


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

$BC=2(23)-6$


$BC=46-6$

$BC=40$

The correct answer is C.