if triangle ABC is similar to triangle DEF and the scale factor is 3, what is the length of side EF if side BC is 6m? triangle ABC is larger.

EF = 3*BC = 18

If triangle ABC is similar to triangle DEF with a scale factor of 3, it means that every corresponding side of triangle DEF is three times smaller than the corresponding side of triangle ABC.

Given that side BC of triangle ABC is 6m, we can find the length of side EF by dividing it by the scale factor:

EF = BC / scale factor
EF = 6m / 3
EF = 2m

Therefore, the length of side EF in triangle DEF is 2m.

To find the length of side EF given that triangle ABC is similar to triangle DEF with a scale factor of 3 and side BC is 6m, you need to apply the concept of similarity ratios.

In similar triangles, corresponding sides are proportional. That means the ratio of the lengths of corresponding sides will be the same.

Since the scale factor is 3, the ratio of corresponding sides will also be 3. So, if side BC is 6m, then the corresponding side EF will be:

EF = BC * Scale Factor
EF = 6m * 3
EF = 18m

Therefore, the length of side EF is 18m.