The ratio of the sides of a triangle are 3 : 4 : 6. The longest side has a length of 30 cm. What is the length of the shortest side?

15 cm

The longest side is from 6 to 30 and that means 6 was multiplied by 5 to get 30. The shortest side is 3 and multiply it by 5 and that's 15

15cm

Step-by-step explanation:

Since it is only asking for the shortest side, and we know the longest side, we can ignore the third side and only need the ratio:

3:6

this can be simplified to:

1:2

using this we can solve:

1:2=?:30

1:2=15:30

hence the answer is 15 cm