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*Please Help!* (Easy question) 20 POINTS

For any line, if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?

*Please Help!* (Easy question) 20 POINTS For any line, if you draw two right triangles-example-1

1 Answer

4 votes
Yes - they have to be similar.  Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same.  Thus, the triangles will be similar.
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User Eugene Lazutkin
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