In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 cm². what is the area (in cm²) of triangle FGE? 

Line 2x + y = 3 and 3x - 2y = 1 meets X-axis at two two points. Find the distance between these points.

If the numerical value of the perimeter of an equilateral triangle is √3 times the area of it, then the length of each side of the triangle is:

Δ ABC is a right angled triangle whose angle A is right angled. Which side needs to bisect to form two other right angled triangles?

D and E are midpoints of side AB and AC respectively of the ΔABC. A line drawn from A meets BC at H and DE at K. AK : KH = ?

The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is 

Four coins whose diameter is 12.6 cm are placed in such a way that one coin touches the other coin, find the area between them.

Inside a square PQRS, ΔQTR is an equilateral triangle. If RT and QS intersect at O, then ∠QOR is equal to-