Problema Solution
A triangle is such that its medium side twice as long as its shortest side and its longest side is 7 yd less than 3 times its shortest side. The perimeter of the triangle is 47 yd. what are the lengths of the 3 sides.
Answer provided by our tutors
Let x=shortest side
GIVEN:
medium side=2x;
longest side=3x-7;
perimeter(P)=47;
FIND:
lengths of 3 sides;
EQUATIONS:
P=side1+side2+side3;
x+2x+3x-7=47;
SOLUTION:
x+2x+3x-7=47;
6x-7=47;
6x=47+7;
6x=54;
x=9 (shortest);
2x=18 (medium);
3x-7=20 (longest);
CHECK:
9+18+20=47;
47=47