Question

Find the value of X for the triangle (Show all work, triangle and equations in picture)

Answer 1

`x=5`

Explanation:

The perimeter of a figure is the sum of all its sides.

The sides are x, (x+3), and (2x). The perimeter is 23, so the sum of the expression equates to 23. Thus:

`x+(x+3)+(2x)=23`

Combine like terms:

`4x+3=23`

Subtract 3 from both sides:

`4x=20`

Divide both sides by 4:"

`x=5`

And we're done!