Question

Hey, I really don't get this and would love a little help, please.

A triangle has sides with lengths in a ratio of proportions 3:6:8. one of the sides is 24, find the minimum and maximum perimeter of the triangle.

I'm really hoping one ou you all can help me understand.

Thanks for the help,
Huck

Answer 1

51 and 136

Explanation:

Since you don't know the side length, put an X in front of it. So the ratio becomes 3x:6x:8x.

Now, take the biggest number, 8 and set it to equal the side length.

8x=24.

x=3.

Now that you know x, multiply all of the values by 3, to get 24+18+9 which equals 51.

Repeat the process but with the smaller value.

3x=24.

x=8.

Multiply all the values by 8, 24+48+64, which equals 136. Therefore, the biggest perimeter is 136, and the smallest perimeter is 51.