Question

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Answer 1

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + $\frac{x}{2}$ = 13, that is

x + 1 + $\frac{x}{2}$ = 13 ( subtract 1 from both sides )

x + $\frac{x}{2}$ = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and $\frac{x}{2}$ = $\frac{8}{2}$ = 4 , then

The shortest side is x - 5 = 3 in