In the figure given below, show that length `AH gt AB + BC + CD`.

AB and CD are respec­tively the smallest and longest sides of a quadrilateral ABCD (see th e given figure). Show that angle A gt angle C and angle B gt angle D

In the figure, O is the centre of the circle and AB = CD. OM is perpendicular on bar(AB) and bar(ON) is perpendicular on bar(CD) . Then prove that OM = ON.

In DeltaABC , right angled at B, AB = 5 cm and angleACB = 30° (see the given figure). Determine the lengths of the sides BC and AC.

In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

In the figures given below AB || CD. EF is the transversal intersecting AB and CD at G and H respectively. Find the values of x and y. Give reasons

In the given figure, if AC = BD, then prove that AB = CD.

In the figure, O is the centre of the circle. Find the length of CD, if AB = 5 cm.

The graph between the displacement x and time t for a particle moving in a straight line is shown in the figure. During the interval OA, AB, BC and CD the acceleration of the particle is OA, AB, BC, CD

In the given figure, ABD is a Deltaright angled at A and AC bot BD . Show that AB^(2)= BC*BD

In the given figure, AD is a median of a DeltaABC and AM bot BC . Prove that : AB^(2)= AD^(2)-BC*DM+((BC)/(2))^(2)