The longest side of a triangle is six more inches than the shortest side. The third side is twice the length of the shortest side of the perimeter of the triangle is 26 units, what's all three lengths of the triangle?

a=5, b=10, c=11

Step-by-step explanation:

a = shortest side

b = "third" side

c = longest side

Equations:

c=6+a

b=2a

a+b+c=26

so we can see there is a in all of the equations, so we can plug all of them into the equation for the perimeter

a + (2a) + (6+a) = 26-->4a=20-->a=5

with a, we can plug that into the equations to get b and c

c=6+a-->6 + (5) - ->c=11

b=2a-->b=2 (5) - -> b=10