Question

what is the length of BC

Answer 1

The answer is 22 units.

Explanation:

As shown in this figure, angle C is congruent to angle B, so triangle ABC is isosceles.

So AC = AB

2x - 24 = x - 2

2x - x = -2 + 24

x = 22

CB = x                  and x = 22

So CB = 22 units

Answer 2

Remember that the Converse of the Base Angles Theorem says the following:

In an triangle, if two angles are congruent, then the sides opposite those angles are also congruent.

Thus, we can solve for $x$ by setting the two congruent side lengths equal to each other.

$2x - 24 = x - 2$

$x - 24 = -2$

$x = 22$

We have found that $x = 22$. Notice that $\overline{BC} = x$, which means that $\overline{BC} = 22$.

Our answer is 22 units.