Question

Consider an isosceles triangle $ABC$ with $AB=4,$ $BC=5,$ $AC=4$, having $O,G,S$ as orthocentre, centroid and circumcentre respectively, then the area (in sq. units) of $△OGS$ is

Answer 1

Since in a triangle, orthocentre, centroid and circumcentre are collinear to each other,
$\therefore \text{Area of}△OGS=0$ sq. units