A trapezium ABCD is inscribed into a semicircle of radius l so that the base AD of the trapezium is a diameter and the vertices B & C lie on the circumference . Find the base angle `theta` of the trapezium ABCD which has the greatest perimeter .

In the given figure , ABCD is a trapezium in which the parallel sides AB,CD are both perpendicular to BC. Find the area of the trapezium :

ABCD is a trapezium such that AB||CD, angle A : angle D = 2 :1, angle B : angle C = 7 : 5. Find the angles of the trapezium.

A current I = sqrt2 A flows in a circuit having the shape of isosceles trapezium. The ratio of the bases of the trapezium is 2. Find the magnetic induction B at symmetric point O in the plane of the trapezium. The length of the smaller base of the trapezium is 100 mm and the distance r=50mm .

A circle is inscribed in a trapezium in which one of the non-parallel sides is perpendicular to the two parallel sides. Then A) the diameter of the inscribed circle is the geometric mean of the lengths of the parallel sides B) the diameter of the inscribed circle is the harmonic mean of the lengths of the parallel sides C) the area of the trapezium is the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium D) the area of the trapezium is half the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium

A right angled trapezium is circumscribed about a circle. Find the radius of the circle. If the lengtyhs of the bases (i.e.parallel sides ) are equal to a and b.

ABCD is a cyclic trapezium with ADBC. If /_B=70^(0), determine other three angles of the trapezium.

ABCD is a trapezium in which AB || DC, AB?78 cm, CD = 52 cm. AD = 28 cm and BC =30cm . Find the area of the trapezium.

ABCD is a trapezium in which AB||DC and angleA=angleB=45^(@) . Find angles C and D of the trapezium.