In the given figure sides AB and AC of `triangleABC`, are extended to point P and Q respectively. Also `anglePBC lt angleQCB`. Show that `AC gt AB`.

In adjacent figure, sides AB and AC of DeltaABC are extended to points P and Q respectively. Also, /_PBC AB.

In the adjacent figure the sides AB and AC of Delta ABC are produced to points E and D respectively. If bisectors BO and CO of angleCBE and angleBCD respectively meet at point O, then prove that angleBOC = 90^(@)-(1)/(2) angleBAC .

In the figure, the sides AB, BC and CA of triangle ABC touch a circle with centre O and radius r at P, Q , and R respectively. Prove that (i) AB+CQ=AC+BQ (ii) Area (DeltaABC)=1/2 ("Perimeter of" DeltaABC)xx r

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 given figure, XY || BC and XZ || AC then (AX)/(AB) is equal to :

In the given figure ,AB,BC and AC touch the circle at L,M and N respectively .If angleB=70^(@) and angleC=60^(@) ,then the measure of angleLON is :

If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to

In the given figure AB, AC, and PQ are tangents. If AB=5cm , find the perimeter of APQ.

In the adjoining figure, D and E are the mid-points of AB and AC respectively. If DE = 4 cm , then BC is equal to :

In Fig A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR . Show that BC || QR.