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Please help!!!! Especially with part C

In the given triangle DEF, angle D is 90° and segment DG is perpendicular to segment EF.

Part A: Identify a pair of similar triangles. (2 points)
Part B: Explain how you know the triangles from Part A are similar. (4 points)
Part C: If EG = 2 and EF = 8, find the length of segment ED. Show your work. (4 points)

Please help Especially with part C In the given triangle DEF angle D is 90 and segment DG is perpendicular to segment EF Part A Identify a pair of similar trian class=

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azikennamdi

Going by the reconstructed Triangles (attached), we can state that ΔDGF and ΔDGE are similar because they are both Right Angled Triangles.

How can one prove that ΔDGF and ΔDGE are similar?

Recall that when an altitude is applied to the hypotenuse of a right triangle, the two triangles generated are comparable to one another as well as to the original triangle.

Hence, ΔDGF and ΔDGE are similar.

How can one find the length of the line segment ED If EG = 2 and EF = 8?

In triangles that are congruent, the sides that correspond to one another must create ratios that are equal.

Thus:

ED/8 = 2/ED.

To simplify, we cross-multiply and we get the following:

ED² = 2 * 8

ED² = 16; taking the square root of both sides, we have:

ED = √16

ED = 4.

Learn more about triangles at:

https://brainly.com/question/17335144

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