Kayla wants to find the width, AB, of a river. She walks along the edge of the river 100 ft and marks point C.
Then she walks 22 ft further and marks point D. She turns 90° and walks until her location, point A, and point
C are collinear. She marks point E at this location, as shown.

(a) Can Kayla conclude that △ and △ are similar? Why or why not?
(b) Suppose DE = 32 ft. What can Kayla conclude about the width of the river? Explain

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-08-25T18:45:58+02:00

a. The triangles ABC and EDC are similar because there are three internal angles in bother triangles.

b. Suppose DE = 32 ft, the thing that Kayla can conclude about the width of the river is that it is 145.45ft.

It should be noted that when two triangles are the same, there will be equality in the ratio of the sides to the angles.

Based on the information, DDE = ACB, EDC ,= ABC, DEC = CAB. They are similar.

Therefore, the values of the width she DE is 32 will be:

BC/DC = AB/DE

100/22 = AB/32

AB = 145.45ft

Therefore, the width is 145.45ft.

Learn more about triangles on:

brainly.com/question/8369222

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