ABC is an isosceles triangle in which altitudes BD and CE are drawn to equal sides AC and AB respectively (see figure) Show that these altitudes are equal.

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

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

ABC is a triangle in which altitudes BD and CE to sides AC and AB are equal (see figure) . Show that (i) DeltaABD ~= DeltaACE (ii) AB = AC i.e., ABC is an isosceles triangle.

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

ABC is an isosceles triangle with AB = AC. Draw AP _|_ BC to show that A = B.

ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2AC^(2) .

ABC is a triangle in which altitude BE and CF to sides AC and AB are equal. Show that Delta ABE ~= Delta ACF (ii) AB = AC, i.e., ABC is an isosceles triangle.

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle QAC and CD "||" BA as shown in the figure. Show that (i) angleDAC = angleBCA (ii) ABCD is a parallelogram