In `DeltaABC. AB = 6, BC=8 and AC = 10`. A perpendicurar dropped from B, meets the side AC at DA circle of radius BD is drawn. If the circle cuts AB and BC at P and Q respectively, then find ratio of `AP : QC`.

The sides AB,BC and AC of a triangle ABC touch a circle with centre O and radius r at P Q,and R respectively.

Altitude AD of equilateral DeltaABC is a diameter of circle. If circle intersects AB and AC at E & F. respectively, as shown. Find ratio of EF:BC

A circle is drown with diameter as the high of an equilateral triangles. As shown in the figure, the circle cuts side AB and AC at point P and Q. Find the ratio of AP : PB

A line drawn parallel to the base BC of ∆ABC intersects AB and AC at P and Q respectively. If AB = 12 , AP = 4 , QC = 5 then determine AQ.

In DeltaABC , AB = AC. The perpendiculars drawn from B and C to AC and AB respectively, intersect the sides AC and AB at the points E and F respectively. Prove that FE||BC.

In triangle ABC," if " BC=8,angleB=30^(@),angleC=45^(@)" and "AD "is altitude to to side "BC. Assuming AD as diameter, a circle is drawn which cuts side AB and AC at P and Q respectively then find the value of (PQ)^(2).

In DeltaABC, AB=10, AC=7, BC=9, then find the length of the median drawn from point Cto side AB.

In triangle ABC, a line parallel to BC cuts AB and AC at P and Q. Show that AP/AB= AQ/A C