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

Similar Questions

Explore conceptually related problems

ABC is a right Triangle right angled at B.Let D and E be any points on AB and BC respectively. Prove that AE^2+CD^2=AC^2+DE^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.

In the adjacent figure, ABC is a triangle in which angle ABC AC^2 = AB^2 + BC^2 -2BC. BD .

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

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

triangle ABC ~ traingle AMP are two right triangles right angled at B and M respectively. Prove that CA/PA = BC/MP

In triangle ABC , angle C = angle 90 , D is the mid point of BC, Prove that AB^2 = 4AD^2 -3AC^2 .

In triangle ABC , angle C = angle 90 D is the mid point of BC, prove that AB^2 = 4AD^2-3AC^2 .

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

ABD is a triangle right angled at A and ACbotBD .Showthat i) AB^2=BC*BD ii) AC^2=BC*DC iii) AD^2=BD*CD