The perimeter of a scalene triangle is 90 feet. The first side is three times the third minus six. The second side is twice the third plus three. How long is the third side?

15.5

Step-by-step explanation:

3rd side =x

3x-6  +2x-3+x =90

6x-3 =90

6x =93

x= 15.5

3(15.5)-6=40.5

2(15.5)+3=34

40.5+34+15.5 =90

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

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)