Question

What is the length of BC?
(Geometry) Details & steps!!​

Answer 1

The sum of the interior angles in a triangle is equal to
`180` degrees.

At the same time, the angles that face two or more sides of the same length are equal to each other. (If two angles are equal to each other, it is called an isosceles triangle. If three angles are equal to each other, it is called an equilateral triangle.) We will use this information.

We are told that angles
`B` and
`C` are the same. Therefore, the lengths of the sides of these angles must be equal to each other. Let's express it algebraically;

• 
  `m(B)=m(C)`
• 
  `2x-24=x-2`

Let's add the unknowns in the equation on one side and the knowns on the other side. Since there is
`1` unknown in total, we can find its numerical value using
`1` equation.

• 
  `2x-x=24-2`
• 
  `x=22`

Answer 2

22

Explanation:

Since angles C and B are congruent, opposite sides AB and AC are also congruent.

2x - 24 = x - 2

x = 22

BC = x = 22

Answer: 22