A piece of wire is 67.95cm long. It is bent to form the sides of a triangle in the ration 2:3:4. Find the length of the longest side of the triangle.
Let the sides of the triangle be 2x, 3x, and 4x.
Then, we know that the total length of the wire is the sum of the lengths of these sides:
2x + 3x + 4x = 9x
We also know that the total length of the wire is 67.95cm:
9x = 67.95cm
Dividing both sides by 9, we get:
x = 7.55cm
Therefore, the longest side of the triangle is 4x, which is:
4(7.55cm) = 30.2cm
So the length of the longest side of the triangle is 30.2cm.