The ratio is the same if you multiply all the parts by the same
positive constant. So since the shortest side of the triangle is
6cm, and the smallest member of the ratio is 2, we multiply all
three members of the ratio by 3 and get:
2:3:4 = (2×3):(3×3):(4×3) = 6:9:12
So the sides of the triangle are 6cm, 9cm, and 12cm.
So its perimeter is 6cm + 9cm + 12cm = 27cm.
[It looks like it might be a right triangle, but actually,
the angle that looks like it might be a right angle is
actually about 104.48°]
Edwin
