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

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

To determine the measurement of DF, we can use the property of similar triangles that corresponding sides are in the same ratio.

In triangle ABC, the ratio of side lengths AB:DE = 11:3.3 = 3.33:1.

Therefore, in triangle DEF, DF = DE * (1/3.33) = 3.3 * (1/3.33) = 0.99.

So, DF = 0.99 or approximately 1.1.

Therefore, the correct answer is:
DF = 1.1