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 BC labeled 7.9 and a second triangle DEF with side DE labeled 3.3

Determine the measurement of EF.

EF = 1.1
EF = 1.39
EF = 2.37
EF = 3.3

Answer 1

We can use the property of similar triangles to solve this problem. The triangles formed by the given sides are similar. Let's call the length of EF "x". Then we can set up the following proportion:

AB/DE = BC/EF

Plugging in the given values, we get:

11/3.3 = 7.9/x

Cross-multiplying, we get:

11x = 7.9 * 3.3

Simplifying, we get:

11x = 26.07

Dividing both sides by 11, we get:

x = 2.37

Therefore, the measurement of EF is 2.37. Answer: (C) EF = 2.37.