In a trapezium, one diagonal divides the other in the ratio 2 :9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

Two parallel chords are drawn in a circle of diameter 30 cm. The length of one chord is 24 cm and the distance between the two chords is 21 cm. The length of the other chord is 30 cm 

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

O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=60⁰ and ∠QCR = 130°, then ∠RPS = ?

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

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