Question

In ∆ABC,AB=AC.D,E and F are midpoints of BC,AC and AB. Prove that AD is perpendicular to EF and bisected by it.​

Answer 1

Answer:

In the given figure △ABC is isosceles with AB=AC.D,E and F are respectively the mid-points of BC,CA and AB.Show that the line segment AD is perpendicular to the line segment EF and is bisected by it.

Q2

AD is a median of △ABC. The bisector of ∠ADB and ∠ADC meet AB and AC in E and F respectively. Prove that EF∣∣BC.

Q3

In the following figure AB = AC and AD is perpendicular to BC . BE bisects angle B and EF is perpendicular to AB

Prove that

ED = EF