The ratio of the lengths of a triangle are 4:6:9 and its perimeter is 57cm. Find the length of the shortest side.

Answer:12cm

Step-by-step explanation:

The ratio are:

4:6:9

Perimeter=57cm

Let a be the unknown value.

The triangle has three sides: 4a, 6a, 9a

Perimeter=The sum of three sides

57=4a + 6a + 9a

57=19a

Divide both side by 19

a=57/19

a=3

Therefore

4a:6a:9a

4*3:6*3:9*3

12:18:27

So the shortest side is 12cm