ABC is a triangle A line is drawn parallel to BC to meet AB and AC in D and E respectively. Prove that the median through A bisects DE.

In a triangleABC P and Q are points on AB and AC respectively and PQ||BC. Prove that the median AD bisects PQ.

AD is a median of Delta ABC. The bisector of /_ADB and /_ADC meet AB and AC in E and F respectively.Prove that EF |BC

In a Delta ABC , if DE is drawn parallel to BC, cutting AB and AC to D and E respectively such that AB=7.2 cm, AC=6.4 cm and AD=4.5 cm . Then, AE=?

ABC is a triangle and EF is any straight line parallel to BC meeting AC, AB in E,F respectively. If BR and CQ be drawn parallel to AC, AB respectively to meet EF in R and Q respectively,prove that DeltaARB =DeltaACQ.

The incircle of an isoceles triangle ABC, with AB=AC, touches the sides AB,BC and CA at D,E and F respecrively. Prove that E bisects BC.

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD, then DE : BC is - त्रिभुज ABC में BC के समांतर एक सरल रेखा AB और AC को क्रमशः D और E पर काटती है । यदि AB= 2AD, तो DE : BC कितना होगा ।

The incircle of an isosceles triangle ABC , with AB=AC , touches the sides AB , BC , CA at D,E and F respectively. Prove that E bisects BC .

In an isosceles triangle ABC with AB=AC a circle passing through B and C intersects the sides AB and AC at D and E respectively. Prove that DE|CB.

The bisectors of the angles B and C of a triangle ABC, meet the opposite sides in D and E respectively.If DE|BC, prove that the triangle is isosceles.