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 figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

In Delta ABC , AB = AC and BC = 6cm, D is a point on the side AC such that AD = 5cm and CD = 4cm, show that Delta BCD ~ Delta ABC and hence find DB .

ABC is a right angled isosceles triangles with angle B = 90 ^@ if D is a point on A B so that angle DCB = 15 ^@ and if Ad = 35 cm , then CD=

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

Triangle ABC is isosceles with AB=AC and BC=65cm. P is a point on BC such that the perpendiculardistances from P to AB and AC are 24cm and 36cm, respectively. The area of triangle ABC (in sq cm is)

In a triangle ABC, if D and E are mid points of sides AB and AC respectively. Show that vecBE+ vecDC=(3)/(2)vecBC .

In a triangle OAB ,E is the mid point of OB and D is the point on AB such that AD:DB=2:1 If OD and AE intersect at P then determine the ratio of OP: PD using vector methods

ABC is right - angled triangle at B. Let D and E be any two point on AB and BC respectively . Prove that AE^2 + CD^2 = AC^2 + DE^2

If Delta ABC is an isosceles triangle with angle C=90^(@) and AC=5 cm, then AB is

In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2. 1). If the equation of the line AB is y= 2x, then the equation of the line AC is