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

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

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

In the given figure, ABC is a triangle right angled at B. D and E are ponts on BC trisect it. Prove that 8AE^(2) = 3AC^(2) + 5AD^(2) .

ABC is a right angled triangle, right angled at B such that BC = 6 cm and AB = 8 cm. A circle with centre O is inscribed in triangleABC . The radius of the circle is____

If ABC is a right triangle right-angled at B and M, N are the midpoints of AB and BC respectively. Then 4 (AN^2 + CM^2) =

In a right angle triangle ABC, right angle is at C, BC+CA = 23 cm and BC-CA = 7cm ,then find sin A tan B

In Delta ABC, /_A is a right angle and AO is perpendicular to BC. Prove that AO^(2) = BO.CO .

If 8R^2=a^2+b^2+c^2 then show that the triangle is right angled

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