You can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. What is the height of the tree?

Trent Carpenter

Trent Carpenter

Answered question

2021-02-02

You can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. What is the height of the tree?

Answer & Explanation

nitruraviX

nitruraviX

Skilled2021-02-03Added 101 answers

The height of the tree is x feet based on the diagram.
Similar triangles have side lengths that are proportional so we can write:
ABDE=BCEC
x4=9+66
x4=156
x=156(4)
x=10
So, the height of a tree is 10 ft.

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