In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If ∠QPR = 40°, then ∠ACB is equal to: 

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

The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in cm²). 

The centroid of a ∆ABC is G. The area of ∆ABC is 60 cm². The area of ∆GBC is

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?

In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is