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? 

Find the value of ∠BAC in the given diagram If AB=AC=CD and ∠ADB=20°?

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

If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is 

A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is

In the given figure, ABCD is a square inscribed in a circle of radius 4 cm. CD is produced till point E. From E a tangent is drawn to the circle at point B.  What is the length (in cm) of AE?

if θ is acute angle and sin (θ+18⁰) = 1/2, then the value of θ in circular measure is :

 In the given figure, BO and CO are the bisector of ∠CBD and ∠BCE respectively ∠A=40°, then ∠BOC is equal to: