if triangle ABC is similar to triangle DEF and AB=16, DF=3 and AC=12 what is the length of DE
To find the length of DE, we can set up a proportion using the corresponding sides of the similar triangles:
AB / DE = AC / DF
Substitute the given values:
16 / DE = 12 / 3
Cross multiply to solve for DE:
16 * 3 = 12 * DE
48 = 12 * DE
Divide by 12 to solve for DE:
DE = 4
Therefore, the length of DE is 4.