ABCD is a trapezium in which AB is parallel to CD and AB = 4 ( CD ) . The diagonals of the trapezium intersects at O. what is the ratio of area of triangle DCO to the area of the triangle ABO ?

PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?

If one of the equal angles of an isosceles triangle is 65°, then the angle at the vertex is

G is the centroid of a triangle ABC, and the median is AD, the ratio of AD and GA is

The ratio of circumradius and hypotenuse a right-angled triangle is

O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to

The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?

A circle with radius 42 cm is drawn. What will be length of arc of a sector subtending an angle of 60 degrees at the Centre?