Find the inradius of a triangle having sides 13, 14 and 15 units.

If the graph of the equations x + y = 0 and 5y + 7x =24 intersect at (m, n), then the value of m + n is :

The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ? 

In the given figure AD ‖ BC, if ∠ABC=72°, then ∠BCD=?

QA and PB are perpendicular to AB in the given figure. If AO = 10 cm, BO = 6cm, BP = 9 cm, then the length of AQ is__

In the given figure, a circle is placed in a rectangle with another rectangle of dimension 10 cm × 5 cm whose one vertex coincides with vertex of bigger rectangle and opposite vertex lies on circumference of circle. Find the radius of circle.

The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is

In the given figure , DE‖BC and AD:DB=5:3, then what is the value of DE|BC?