D is a point on side BC of `DeltaA B C` such that `A D"\ "="\ "A C` (see Fig. 7.47).Show that `A B"\ ">"\ "A D` .

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

D is a point on side BC of Delta ABC such that AD=AC (see Fig.7.47). Show that AB>AD

D is a point on the side BC of a triangle ABC such that /_A D C=/_B A C . Show that C A^2=C B.C D .

In an isosceles triangle ABC with A B" "=" "A C , D and E are points on BC such that B E" "=" "C D (see Fig. 7.29). Show that A D""= "A E

In figure D is a point on side BC of a DeltaA B C such that (B D)/(C D)=(A B)/(A C) . Prove that AD is the bisector of /_B A C .

In figure D is a point on side BC of a DeltaA B C such that (B D)/(C D)=(A B)/(A C) . Prove that AD is the bisector of /_B A C .

D is a point on the side B C of A B C such that /_A D C=/_B A C . Prove that (C A)/(C D)=(C B)/(C A) or, C A^2=C BxxC D .

ABC is an isosceles triangle in which A B""=" "A C . Side BA is produced to D such that A D" "=" "A B (see Fig. 7.34). Show that /_B C D is a right angle.

In an isosceles triangle ABC with A B = A C , D and E are points on BCsuch that B E = C D (see Fig. 7.29). Show that A D= A E

E and F are respectively the mid-points of equal sides AB and AC of DeltaA B C (see Fig. 7.28). Show that BF = C E .