Question The perimeter of a triangle is 120. If the ratio of the triangle’s side is 4:5:6, what is the length of the shortest side?

Answer: 32 units Step-by-step explanation: first, we need to split 120 between the 4:5:6 ratio. What we need to do is make the ratio be 4x:5x:6x (it’ll still the same ratio). Then we add all of the x’s together and make that equal 120. 4x+5x+6x=120 15x=120 divide by 15 x=8 Looking at the ratio, the shortest side is 4x. Since we know the value of x, we can multiply the two together. 4(8)=32 units Therefore the length of the shortest side is 32 unites Hope this helps! Log in to Reply

Answer:32 units

Step-by-step explanation:first, we need to split 120 between the 4:5:6 ratio.

What we need to do is make the ratio be 4x:5x:6x (it’ll still the same ratio). Then we add all of the x’s together and make that equal 120.

4x+5x+6x=120

15x=120

divide by 15

x=8

Looking at the ratio, the shortest side is 4x. Since we know the value of x, we can multiply the two together.

4(8)=32 units

Therefore the length of the shortest side is 32 unites

Hope this helps!