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?
Question
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!