Question

Triangle DEF is similar to triangle ABC. What is the length of segment EF? (HINT use scale factor) (Leave answer as a fraction)

Answer 1

In the similar triangles, the length of EF s 5/13

How to find the length of EF

The length of EF is solved using the principles of similar triangles. This involves using proportions of corresponding sides.

The relevant proportion in this case is the scale factor

scale factor = DF / AC = EF / BC

plugging in the values (using the figure)

1 / 13 = EF / 5

EF = 5 * 1 / 13

EF = 5/13

Answer 2

We have been given two similar triangles. We are asked to find the length of segment EF.

We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.

`(EF)/(DF)=(BC)/(AC)`

Upon substituting measure of our given side lengths, we will get:

`(EF)/(1)=(5)/(13)`

`EF=(5)/(13)`

Therefore, the length of segment EF is
`(5)/(13)` units.