ABC is a right angled triangle in which `/_A = 90^@` and `AB = AC`. Show that `/_B = /_C`.

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

ABC is a right angled triangle whose angleA = 90^@ , AD is perpendicular on BC. Prove that (area of triangleABC)/(area of triangleACD) = (BC^2)/(AC^2) .

ABC is a right-angled triangle of which /_A = right angle. P and Q are two points on AB and AC respectively.By joining P,Q,B,Q and C,P prove that BQ^(2) + PC^(2) = BC^(2) + PQ^(2)

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

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

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 a right angle isosceles triangle with angleB=90^(@). If D is a point on AB so that angle CDB=15^(@) and if AD=35 cm then the value of CD is-