Question

In $\Delta ABC$, $AB=AC$ and AD is the median. Find which of the points lies on AD.
(i) Centroid ii) Incentre
(iii) Circumcentre (iv) Orthocentre

• A. (i), (ii), (iii)
• B. (i), (iii),( iv)
• C. (ii), (iii), (iv)
• D. (i), (ii), (iii), (iv)

Answer 1

Answer: (D)

(i), (ii), (iii), (iv)

In an isosceles triangle, the 4 centres are collinear. This is true because in an isosceles triangle, the altitude to the base is also a median and an angle bisector. This line is the one line of reflection symmetry for the triangle.