Question 1154064
.
the sides of a triangle are (x+2), (3x+1) and (x+7) units. find the units of x if the perimeter of the triangle is 140 units
~~~~~~~~~~~~~~~


<pre>

Your equation is


    (x+2) + (3x+1) + (x+7) = 140.


Simplify and solve for x.


    5x = 140 - 2 - 1 - 7 = 130.

     x = 130/5 = 26.


The sides are  (26+2) = 28;  3*26+1 = 79;  26+7 = 33.
</pre>

Since  &nbsp;&nbsp;79 > 28 + 33, &nbsp;the thriangle inequality is &nbsp;&nbsp;<U>V I O L A T E D</U>, &nbsp;which means that


<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;SUCH A TRIANGLE DOES NOT EXIST.</H3>

Your problem is a &nbsp;&nbsp;<U>F A K E</U>.