Question 780019
The three sides of an equilateral triangle are increase by 20 cm, 30 cm, and 40 cm, 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?
----------
Let each side of the equilatera triangle be "x".
New sides are x+20, x+30, and x+40.
New perimeter is 3x+90
-------
Inequality:
2(3x) < 3x+90 < 3(3x)
6x < 3x+90 < 9x
---
3x < 90 < 6x
x < 30 < 2x
======
Each side of the orignal triangle is less than 30
================
Cheers,
Stan H.
================