The ratio of the lengths of the sides of a triangle is 2:4:5. The largest side is 33" longer than the small side. What is the perimeter? I don't know how to start it help please

let the sides be 2x, 4x, 5x

so then Perimeter=11x
and 5x-33=2x
solve for x, then go back and calculate 2x, 4x, and 5x, then add them to get the perimeter.

Easy as apple pie.

To solve this problem, we need to first determine the lengths of the individual sides of the triangle.

Let's assume the lengths of the sides are 2x, 4x, and 5x (since the ratio is given as 2:4:5, we multiply each term by the same variable x).

Now, we know that the largest side is 33" longer than the smallest side. So we can set up an equation:

5x = 2x + 33

To find the value of x, we solve the equation:

5x - 2x = 33
3x = 33

Dividing both sides by 3:

x = 11

Now that we have the value of x, we can find the lengths of the sides:

Side1 = 2x = 2 * 11 = 22"
Side2 = 4x = 4 * 11 = 44"
Side3 = 5x = 5 * 11 = 55"

To find the perimeter of the triangle, we add up the lengths of all three sides:

Perimeter = Side1 + Side2 + Side3
= 22" + 44" + 55"
= 121"

Therefore, the perimeter of the triangle is 121".