Consider the following statements :I. Every equilateral triangle is necessarily an isosceles triangle.II. Every right-angled triangle is necessarily an isosceles triangle.III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.The correct statements are:

Correct Answer: I and III
Every equilateral triangle is necessarily an isosceles triangle.A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.