In `DeltaABC`, the bisector `AD` of `angleA` is perpendicular to side BC (see figure). Show that AB =AC or `DeltaABC` is isosceles.

In bigwedge ABC, the bisector AD of A is perpendicular to side BC( see Fig.7.27). Show that AB backslash=backslash AC and Delta ABC is isosceles

In DeltaABC , if AD is the bisector of angleA, show that ABgtBD and ACgtDC .

Prove that DeltaABC is isosceles if median AD is perpendicular to BC.

In a DeltaABC , Median AD perpendicular to side BC . Find the value of tanA/tanB

In DeltaABC , the external angle bisector of angleA is parallel to BC then what is DeltaABC ?

In DeltaABC , the bisector of angleA interseats BC at D. A perpendicular to AD from B intersects AD at E. A line segment through E and parallel to AC intersects BC at G and AB at H. If AB = 26, BC = 28, AC = 30. Find the measure of DG.

D is a point on side BC of triangle ABC such that AD = AC (see figure). Show that AB gt AD .

In DeltaABC, angleA is acute. BD and CE are perpendicular on AC and AB respectively. Prove that ABxxAE=ACxxAD .

In DeltaABC , if AD is the bisector of angleA , show that AB gt BD and AC gt DC .

In DeltaABC, AD is the bisector of angleA . Write AB, BD and DC in descending order of their length.