The radius of the circumcircle of a right-angled triangle is 15 cm and the radius of its in circle is 6 cm. Find the sides of the triangle. 

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that 

In ΔPQR , ∠R=54° the perpendicular bisector of PQ at S meets QR at T. If ∠TPR =46°, then what value of (in degree) ∠PQR?

The area enclosed between the circumferences of two concentric circles is 45π square cm and their radii are in the ratio of 3:2. What is the area off the outer circle?

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the midpoints of the sides PQ and PR respectively. What is the area (in cm²) of the shaded region?

The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

PQR is a right angled triangle in which PQ = QR . If the hypotenuse of the triangle is 20 cm , then what is the area ( in cm ) of the triangle PQR ?