ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see figure). Show that

AB=AC, i.e., ABC is an isosceles triangle.

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see figure). Show that DeltaABE~=DeltaACF

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) DeltaA B E~=DeltaA C F (ii) A B\ =\ A C , i.e., ABC is an isosceles triangle.

ABC is a triangle in which altitude BE and CF drawn on AC and AB respectively are equal. Prove that DeltaBEC~=DeltaCFB

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

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

ABC is a triangle in which AB=AC.D and E are points on the sides AB and AC respectively,such that AD=AE .Show that the points ' B

ABC is a triangle is which BE and CF are, respectively,the perpendiculars to the sides,AC and AB. If BE=CF, prove that hat varphi ABC is isosceles.

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

In Figure,ABC is a triangle in which AB=AC. Point D and E are points onthe sides AB and AC respectively such that AD=AE .Show that the points B,C,E and D are concyclic.