Question

The perimeter of a triangle is 19 cm. If the length of the longest side is twice that of the shortest side and 3 cm less than the sum of the lengths of the other two sides, find the lengths of the three sides

Answer 1

If the shortest side is x and the middle length is y, then

x + y + 2x = 19

But 2x is also x+y-3, so y=x+3, and

x + x+3 + 2x = 19
x = 4

and the sides are 4,7,8