Question

Triangle ABC ~ triangle DEF. Use the image to answer the question.

a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side CB labeled 7.9 and a second triangle DEF with side DE labeled 3.3

Determine the measurement of DF.

DF = 3.3
DF = 2.37
DF = 2.28
DF = 1.1

Answer 1

2.28.

Explanation:

Answer 2

Explanation:

Triangle ABC is similar to triangle DEF,

Therefore we can use the property of similarity to find the length of DF.

By definition of similar triangles, corresponding sides are proportional. Therefore, we have:

AB/DE = AC/DF = BC/EF

We are given the lengths of AB, AC, and BC in triangle ABC. We need to find the length of DF in triangle DEF.

To find the length of DF, we can rearrange the equation AB/DE = AC/DF to get:

DF = AC * DE / AB

Substituting the values given, we get:

DF = 7.6 * 3.3 / 11 = 2.28

Therefore, the length of DF is 2.28.