# 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?

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?
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nitruraviX
The height of the tree is x feet based on the diagram.
Similar triangles have side lengths that are proportional so we can write:
$\frac{AB}{DE}=\frac{BC}{EC}$
$\frac{x}{4}=\frac{9+6}{6}$
$\frac{x}{4}=\frac{15}{6}$
$x=\frac{15}{6}\left(4\right)$
$x=10$
So, the height of a tree is 10 ft.