Question

Triangle ABC ~ triangle DEF.

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 FD.

FD = 1.1
FD = 1.39
FD = 2.28
FD = 2.37

Answer 1

Measurement of FD is approximately 2.28. So the correct option is FD = 2.28

Explanation:

To determine the measurement of FD, we can use the concept of similarity between triangles. In similar triangles, corresponding sides are proportional.

Given that triangle ABC is similar to triangle DEF, we can set up a proportion using the corresponding sides:

AB/DE = AC/DF = BC/EF

Substituting the given values:

11/3.3 = 7.6/DF = 7.9/EF

To find the measurement of FD, we can isolate DF in the proportion and solve for it.

11/3.3 = 7.6/DF

Cross-multiplying:

11 * DF = 3.3 * 7.6

Simplifying:

11DF = 25.08

Dividing both sides by 11:

DF = 25.08/11

DF ≈ 2.28

Therefore, the measurement of FD is approximately 2.28. So the correct option is FD = 2.28.

Answer 2

Since the triangles are similar, their corresponding sides are in proportion. We can set up a proportion of corresponding sides:

AB/DE = BC/EF = AC/DF

Plugging in the given values, we get:

11/3.3 = 7.9/EF = 7.6/FD

Solving for FD, we get:

FD = (7.6 x 3.3) / 11
FD = 2.28

Therefore, the measurement of FD is 2.28. The answer is: FD = 2.28.