The longest side of a triangle is eight more units than the shortest side . The third side is three times the length of the shortest side. If the perimeter of the triangle is 33 units, write and solve equation to find the lengths of all three sides of the triangle

shortest side= x

longest side= x+8

other side= 3x

x+x+8+3x= 33

5x+8=33

5x= 25

x= 5

shortest side= x= 5

longest side= x+8= 5+8= 13

other side= 3x= 3(5)=15

Step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)