How would you draw a counterexample to this?

Melanie said:

Every angle bisector in a triangle bisects the opposite side perpendicularly.

A ’counterexample’ would show an angle bisector in a triangle that DOESN’T

bisect the opposite side perpendicularly.

See my attached drawing of a counterexample.

Both of the triangles that Melanie examined have **equal sides** on both sides

of the angle bisector. That’s the only way that the angle bisector can bisect

the opposite side perpendicularly. Melanie didn’t examine enough different

triangles.

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