SOLUTION: the three sides of an equalateral triangle are increased by 20cm,30cm,40cm respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of t

Algebra ->  Inequalities -> SOLUTION: the three sides of an equalateral triangle are increased by 20cm,30cm,40cm respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of t      Log On


   

Question 101658: the three sides of an equalateral triangle are increased by 20cm,30cm,40cm respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of the original triangle. What can you conclude about the length of a side of the original triangle?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
let a side = x P=3x
p[1]=x+20+x+30+x+40=3x+90
.
3x+90>2*3x
3x+90>6x
90>3x
x<30
.
3x+90<3*3x
3x+90<9x
90<6x
x>15
.
15cm < x < 30cm
Ed