Two similar triangles are shown.

Question

A diagram.Short description, A diagram.,Long description,
The diagram shows 2 similar triangles: A B C and D E F. For triangle A B C:

Side A B is 12.
Side B C is 10.
Side C A is 16
For triangle D E F:

Side D E is 18.
Side E F is unlabeled.
Side F D is 24.

Question
What is the unit length of segment E F?

Answer 1

To find the length of segment EF, we can set up a proportion between the two triangles:

AB / DE = BC / EF

Plugging in the values we know:

12 / 18 = 10 / EF

Cross multiplying:

12 * EF = 18 * 10
12EF = 180
EF = 180 / 12
EF = 15

Therefore, the unit length of segment EF is 15.