What would the ratio be if the first triangle has sides of 4cm, 8cm, and 12cm and the second triangle had sides of 1cm, 2 cm, and 3 cm? Would the ratio be 4:1 or 1:1/4?

first:second is 4:1

second:first = 1:4

When you want a ratio, you need to specify which to which

The first value is in the numerator, the second in the denominator. The colon (:) takes the place of the word "to".

To find the ratio between the sides of two triangles, we compare the corresponding sides of both triangles. In this case, we compare the lengths of the corresponding sides of the first and second triangles.

For the first triangle:
- Side A: 4 cm
- Side B: 8 cm
- Side C: 12 cm

For the second triangle:
- Side A: 1 cm
- Side B: 2 cm
- Side C: 3 cm

To compare the lengths of the corresponding sides, we divide each side of the first triangle by the corresponding side of the second triangle. Let's calculate the ratios:

- For Side A: 4 cm / 1 cm = 4
- For Side B: 8 cm / 2 cm = 4
- For Side C: 12 cm / 3 cm = 4

So, the ratio between the sides of the first triangle to the second triangle is 4:1.