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

In an isosceles triangle ABC , angleA =120^@ ,a:b=

In an equilateral triangle ABC, D is a point on side BC such that BD = (1)/(3) BC. Prove that 9 AD^(2) = 7 AB^(2) .

If ABC is an isosceles triangle and D is a point on BC such that AD bot BC , then____

Three charges, each +q , are placed at the corners of an isosceles triangle ABC of sides 'BC and AC, 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is

DeltaABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see figure). Show that /_BCD is a right angle.

In triangleABC , D and E are two points on AB and AC such that DE || BC and AD : BD = 3 : 2, then DE : BC =

ABC is a right angle isosceles triangle with angleB=90^(@). If D is a point on AB so that angle CDB=15^(@) and if AD=35 cm then the value of CD is-

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

In an isosceles triangle ABC, if AB = AC = 25 cm and BC = 14 cm, then the measure of altitude from A on BC is____

In the isosceles triangle ABC, AB=AC and BE is perpendicular to AC from B. Prove that BC^(2) = 2ACxxCE