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 4.4 Determine the measurement of EF. EF = 3.47 EF = 3.16 EF = 1.39 EF = 1.1

Answer 1

FD = 3.16

Explanation:

Answer 2

FD = 3.16

Explanation:

To determine the length of FD, we can use the property of similar triangles that corresponding sides are in proportion to each other. That is,

AB/DE = BC/EF = CA/FD

We are given the lengths of AB, CA, and BC in triangle ABC, and we know that triangle ABC is similar to triangle DEF. We can use the first two sides to find the third side of triangle DEF as follows:

AB/DE = 11/DE = 7.9/EF

=> EF = (DE * 7.9) / 11

Next, we can use the third proportionality to find FD:

CA/FD = 7.6/FD = 11/EF

=> FD = (11 * 7.6) / EF

=> FD = (11 * 7.6) / ((DE * 7.9) / 11)

=> FD = (11^2 * 7.6) / (DE * 7.9)

Now, we just need to substitute the given values and solve for FD:

FD = (11^2 * 7.6) / (4.4 * 7.9)

FD = 3.16

Therefore, the length of FD is 3.16.