In triangle ABC, F is the centroid. If AB=11 cm, BC=14 cm and AC=7 cm, then what is the value (in cm) of EF?

Find the length of a tangent, drawn to a circle of radius 4 cm, from a point which is at a distance of 5 cm from the centre?

The largest and the smallest angles of a triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to 56°. What is the value of largest angle of the triangle?

If the perimeter of a rhombus is 80 cm and one of its diagonals is 24 cm, then what is the are (in cm²) of the rhombus?

The difference between the interior and the exterior angles of a regular polygon is 150^o. Find the number of sides in the polygon.

Two circles intersect at A and B, P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is 

PT is a tangent at the point R on a circle with centre O. SQ is a diameter, which when produced meets the tangent PT at P. If ∠SPT=32°, then what will be the measure of ∠QRP?

In ∆ABC, AC = BC and ∠BAC = 40°. If BC is extended to D such that BC = CD, find out ∠ADC = ?