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

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 ratio between the three angles of a quadrilateral is 1:6:2 respectively. The value of the fourth angle of the quadrilateral is 45°.What is the difference between the value of the largest and smallest angles of the quadrilateral?

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.

What is the measure of the circum radius of a triangle whose sides are 9cm, 40cm and 41cm?

The distance between the center of two equal circles each of radius 3 cm, is 10 cm. The length of a transverse common tangent is 

In the given figure, SX is tangent. SX = OX = OR. If QX=3 cm and PQ = 9 cm. then what is the value (in cm) of OS?

In a trapezium ABCD, AB and DC are parallel to each other with a perpendicular distance of 8 m between them. Also, (AD)=(BC)=10 m, and (AB) = 15 m <(DC). What is the perimeter (in m) of the trapezium ABCD?