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

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

The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle?

ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ΔABC= x cm², then what is the area (in cm²) of ΔDBC?

P and Q are center of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the center of another circle of radius x cm, which touches each of the above two circles externally. If ∠PRQ = 90 °, then the value of x is 

Find the second diagonal of a rhombus when it’s first diagonal length is 12 cm and its side is 10 cm?

ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?

AB is diameter of a circle with centre 'O'. CD is a chord which is equal to the radius of the circle. AC and BD are extended so that they intersect each other at point P. Then find the value of ∠ APB.