Home
Class 10
MATHS
The perpendicular A D on the base ...

The perpendicular `A D` on the base `B C` of a ` A B C` intersects `B C` at `D` so that `D B=3C D` . Prove that `2\ A B^2=2\ A C^2+B C^2` .

Promotional Banner

Similar Questions

Explore conceptually related problems

The perpendicular A D on the base B C of a triangle A B C intersects B C at D so that D B=3C D . Prove that 2\ A B^2=2\ A C^2+B C^2 .

In Figure, A D_|_B C and B D=1/3C Ddot Prove that 2C A^2=2A B^2+B C^2

In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C^2 .

In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C^2 .

A B C is a triangle in which A B=A C and D is any point in B C . Prove that A B^2-A D^2=B D C D .

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

In /_\ A B C , given that A B=A C and B D_|_A C . Prove that B C^2=2\ A C * C D

A B C D is a rhombus. Prove that A B^2+B C^2+C D^2+D A^2=A C^2+B D^2

In fig., if A D_|_B C , prove that A B^2+C D^2=B D^2+A C^2 .