The length of the two sides forming the right angle of a right-angled triangle are 6 cm and 8 cm, then find the length of its circum radius:

The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm2. Then its perimeter is -

Let ABCD be a quadrilateral. Let the diagonals AC and BD meet at O. Let the perpendicular drawn from A to CD meet CD at E. Further, AO: OC = BO: OD, AB = 30 cm. CD = 40 cm. and the area of the quadrilateral ABCD is 1050 cm². What is BE equal to?

The area of an isosceles trapezium is 176 m2 and the height is 2/11 of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4: 7. Then what is the measure of height of the isosceles trapezium-

The distance between the centers of two circles having radii 4.5 cm. and 3.5 cm. respectively is 10 cm. What is the length of the transverse common tangent of these circles?

In a triangle, lengths of all the three medians are 9 cm, 12 cm. and 15 cm respectively. Then what will be the area of the triangle?

A rectangular sheet of metal is 40 cm by 15 cm. Equal squares of side 4 cm. are cut off at the corners and  the remainder is folded up to form an open rectangular box. The volume of the box is-

Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism is-