AB and CD are respectively the smallest and longest sides of aquadrilateral ABCD (see adjacent figure). Show that `/_A > /_C and /_ B > /_ D. `

In the adjacent figure, find the value of x, y, z and a, b, c.

In the adjacent figure AB || CD. Find the value of x, y and z.

AB and CD are two parallel sides of a cyclic quadrilateral ABCD such that AB=10 cm, CD=24 cm and the radius of the circle is 13 cm. Find the shortest distance between the two sides AB and CD.

In the adjacent figure AB || CD, CD || EF and y : z = 3 : 7, find x.

In the adjacent figure AB || CD. Find the values of x, y and z.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE

In the adjacent figure, we have BX = 1/2 AB, BY = 1/2 BC and AB=BC. Show that BX = BY.

Points P and D are taken on the ellipse (x^(2))/(4)+(y^(2))/(2)=1 . If a , b ,c and d are the lengths of the side of quadrilateral PADB, where A nd B are foci of the ellipse, then maximum value of (abcd) is __________

ABC is a right angled triangle in which /_A = 90^@ and AB = AC . Show that /_B = /_C .