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.
An angle bisector in a triangle is a line segment that splits an angle into two equal angles. A counterexample for an angle bisector could be a line that doesn't split an angle into two equal parts. Additionally, a triangle in which the angle bisectors do not meet at a single point serves as a counterexample for the Incenter Theorem. ;
The angle bisector theorem states that the angle bisector divides the opposite side into segments proportional to the other two sides. A counterexample is a triangle where the sides are not equal; for instance, in triangle ABC with AB = 3, AC = 5, and BC = 4, the angle bisector creates segments of differing lengths (1.5 and 2.5 units). Therefore, the angle bisector does not always result in equal segments on the opposite side of a triangle.
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Diketahui:Jarak = 800 meterCepat rambat bunyi = 360 m/sWaktu = Jarak ÷ KecepatanWaktu = 800 ÷ 360 ≈ 2,22 detikJadi, waktu yang dibutuhkan suara sampai ke telinga adalah sekitar 2,22 detik.