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?

Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?

If the ratio of the heights of two identical triangles is 4: 9, find the ratio of the areas of the two triangles.

The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:

Each side of an equilateral triangle is 4 cm. What will be its area?

If △ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.

'G' is centroid of ΔABC if AG = BC then find ∠BGC.

P is a point outside a circle and is 26 cm away from its centre. A secant PAB drawn form P intersects the circle at points A and B such that PB=32 cm and PA=18cm. The radius of the circle (in cm) is: