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 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.

DeltaABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see figure). Show that /_BCD is a right angle.

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

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

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

triangleABC is an isosceles triangle in which angleC = 90^@ . If AC = 6 cm, then AB is equal___

ABC is an isosceles triangle of which AC=BC and AB^(2) = 2AC^(2) . Then value of /_C will be -

ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of Delta ABE and Delta ACD

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