- AIn an equilateral triangle, the altitude and the median from a vertex are the same segment.
- BIn an isosceles triangle, the altitude to the base does bisect the base.
- CIn a right triangle, the hypotenuse is the longest side.
- DIn a scalene triangle, the foot of an altitude is not the midpoint of the side it meets.
Step-by-Step Solution
A single counterexample settles it: in a scalene triangle no altitude lands on a midpoint, so the claim fails. The first two options are the special cases where altitude and median really do coincide, so they SUPPORT Sameer rather than refute him, and the third is irrelevant. Trap: generalising from the equilateral and isosceles cases, which is exactly how the median and altitude get confused.
Answer: D) In a scalene triangle, the foot of an altitude is not the midpoint of the side it meets.