Question

What is the length of BC

Answer 1

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.

Answer 2

The answer is 22 units.

Step-by-step 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