Problem

An altitude is drawn from a right triangle's right angle to its hypotenuse. Name the similarity theorem triggered by this configuration and state the \(\text{three}-\triangle~\text{similarity}~\text{consequence}\).

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This is the converse of the right-triangle altitude theorem because drawing any altitude in a triangle guarantees the smaller triangles are similar.

This is the angle bisector theorem because the segment starts at a vertex and meets the opposite side of the triangle.

This is the right-triangle altitude similarity theorem because an altitude from the right angle to the hypotenuse creates the classic similar-triangle setup.

This is the side-splitter theorem because a segment drawn inside a triangle divides it into smaller parts.

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An altitude is drawn from a right triangle's right angle to its hypotenuse. Name the similarity theorem triggered by this configuration and state the \(\text{three}-\triangle~\text{similarity}~\text{consequence}\).

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