An equilateral triangle is modified so that the measure of each side is now 2 more than 3 times the original triangle. If the perimeter of the larger triangle is 42 , what is the length of the original side of the equilateral triangle ?
+23246 If the original of each length is x,
then the new length of each is: 3x + 2 (two more than three times the original)
Perimeter of new triangle: (3x + 2) + (3x + 2) + (3x + 2) = 42
---> 9x + 6 = 42
---> 9x = 36
---> x = 4
+128399 Here's another way to see this without doing much math.
If the perimeter is 42, each side is 14. And this is 2 more than 3 times the original length.
So, subtracting 2 from a side = 12.
And this is 3 times the original length.......so the original length was 4.
