Internal bisector of `/_A` of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent sides of `DeltaABC`, then

D,E and F are the middle points of the sides of the triangle ABC, then

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. Does the perpendicular bisector of BC pass through O?

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. What is the relation between the distances OA, OB and OC ?

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. What do you call the point ?

If D id the mid-point of the side BC of a triangle ABC and AD is perpendicular to AC , then

In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that : AD = CE.

E is the mid-point of the side AD of the tarapezium ABCD with AB||DC . A line through E drawn parallel to AB intersects BC at F. Show that F is the mid-points of BC.

In Delta ABC, AB =AC and D is a piont in side BC such that AD bisect angle BAC. Show that AD is perpendicular bisector of side BC.

Let the incircle of a Delta ABC touches sides BC, CA and AB at D,E and F, respectively. Let area of Delta ABC be Delta and thatof DEF be Delta' . If a, b and c are side of Detla ABC , then the value of abc(a+b+c)(Delta')/(Delta^(3)) is (a) 1 (b) 2 (c) 3 (d) 4

In a right triangle ABC, a circle with AB as diameter is drawn to intersect the hypotenuse AC in P. Prove that the tangent at P, bisects the side BC.