The 3 side legnths of a triangle are represented by x, (x+10), AND 2X+5) UNITS. The perimeter of the triangle is 105 units. What is the value of X? (show step by step)
Let's use the equation for the perimeter of a triangle: P = a + b + c
Given that the side lengths are x, (x+10), and (2x+5) units, we can substitute these values into the equation:
105 = x + (x+10) + (2x+5)
Simplifying, we have:
105 = x + x + 10 + 2x + 5
Combine like terms:
105 = 4x + 15
Subtract 15 from both sides:
90 = 4x
Divide both sides by 4:
x = 90/4
Simplifying:
x = 22.5
Therefore, the value of x is 22.5.