Question

What is the value of x?

Answer 1

x = 12

Explanation:

All sides of the triangle are congruent meaning you're looking at a equilateral triangle.

`4x-10=3x+2`

`4x=3x+12`

`x=12`

Answer 2

x = 12

Explanation:

An equilateral triangle is a triangle with all three sides equal and all three angles equal. Equilateral triangles are also regular polygons, meaning that all of their sides and angles are equal.

In this case:

The given triangle is equilateral triangle.

So, it's sides are equal.

We can write as:

`\boxed{\boxed{\sf AB = BC = AC}}`

Substitute the value:

4x - 10 = 3x + 2 = 5x - 22

To solve for x, we can take two of them.

4x - 10 = 3x + 2

Subtract 3x on both sides.

4x - 10 - 3x = 3x + 2 - 3x

x - 10 = 2

Add 10 on both sides.

x - 10 + 10 = 2 + 10

x = 12

Therefore, the value of x is 12.