ABC is an isosceles Triangle right angled at C. Prove that `AB^2=2AC^2`.

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 /_\ABE and /_\ACD .

ABC is an isosceles Triangle and angleB=90^@ , then show that AC^2=2AB^2 .

In the figure, DeltaABC is an isosceles triangle right angled at B. Two equilateral triangles are constructed with sides AC and BC. Then DeltaBCD =

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^2+CM^2)=5BC^2 .

Angles in an isosceles Right triangle are

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

ABD is a Triangle right angle at A and AC bot BD . Show that (i) AB^2=BC.BD (ii) AD^2=BD.CD (iii) AC^2=BC.DC

ABC is a right angled triangle, right angled at C. Let BC=a, CA=b,AB=c and let p be the length of perpendicular from C on AB. Prove that (i) pc=ab and (ii) 1/p^2=1/a^2+1/b^2 .

ABC is a right angled triangle which is right angled at C. Let AB=c, BC=a, CA=b and let p be the length of perpendicular from C and AB. Prove that c=(ab)/p .