A field in the shape of a trapezium whose parallel sides are 200 meter and 400-meter-long, whereas each of other two sides is 260 meter long. What is the area (in m²) of the field?

AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is 

The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is

Given that (a²+b²)=60, then find the value of (a+b)²+(a–b)².

If two complementary angles are in the ratio of 2:3. find the ratio of square of smaller angle to square of greater?

If the sum of the interior angles of a regular polygon be 1080 °, the number of sides of the polygon is 

In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC=55° then value of ∠ABC is