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

In the adjacent figure angle BAC=90^(@) and AD bot BC then

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

In the adjoining figure, AB^(2) + AC^(2) = 122, BC = 10, then find AQ……

In the given Figure AB and CD are intersecting at ‘O’, OA = OB and OD = OC. Show that (i) Delta AOD ~= DeltaBOC and (ii) AD || BC .

In the adjoining figure, seg BD bot "side" AC, C-D-A. "Prove that" : AB^(2) = BC^(2) + AC^(2) - BC.AC

Point D and E are the points on sides AB and AC such athat AB = 5.6 , AD = 1.4 , AC =7.2 and AE = 1.8 . Show that DE||BC.

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

If a, b, c are in HP show that ab + bc = 2ac.

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