In the figure, ABC is a right-angled triangle, right-angled at C. D is a midpoint of BC. Prove that `AB^(2)=4AD^(2)-3AC^(2)`.

In a right-angled DeltaABC right-angled at C, P and Q are the midpoints of BC and AC. Prove that AP^(2)+BQ^(2)=5PQ^(2) .

ABC is a triangle, right angled at C. If AB=25cm and AC=7cm, find BC.

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

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AB^(2)=BC.BD

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

In Fig , ABC is a triangle in which angleABCgt90^(@) and AD bot CB, produced . Prove that AC^(2)=AB^(2)+BC^(2)+2BC.BD

In an equilateral triangle ABC, D is a point of BC such that 4BD = BC. Prove that 16AD^(2)=13BC^(2) .

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AD^(2)=BD.CD

In the figure, ABC is a triangle in which /_C=90^(@) and AB=5cm . D is a point on AB such that AD=3cm and /_ACD=60^(@) . Then the length of AC is

ABC is a right angle triangle having angleB=90^@ . If BD=DC, show that AC^2 = 4AD^2 - 3AB^2