Home
Class 8
MATHS
D is a point on the side B C of A B ...

`D` is a point on the side `B C` of ` A B C` such that `/_A D C=/_B A C` . Prove that `(C A)/(C D)=(C B)/(C A)` or, `C A^2=C BxxC D` .

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    S CHAND IIT JEE FOUNDATION|Exercise Question Bank|30 Videos

  • TRIANGLES

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet|10 Videos

  • TIME AND WORK

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 20|10 Videos

  • TRIGONOMETRICAL RATIOS

    S CHAND IIT JEE FOUNDATION|Exercise Self Assessment Sheet - 40|1 Videos

Similar Questions

Explore conceptually related problems

A point D is taken on the side B C of a A B C such that B D=2d Cdot Prove that a r( A B D)=2a r( A D C)dot

A point D is taken on the side B C of a \ A B C such that B D=2D Cdot Prove that a r\ (\ A B D)=\ 2\ a r\ (\ A D C)

In figure D is a point on side BC of a DeltaA B C such that (B D)/(C D)=(A B)/(A C) . Prove that AD is the bisector of /_B A C .

In A B C ,/_B=2/_C and the bisector of /_B intersects A C at Ddot Prove that (B D)/(D A)=(B C)/(B A)

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

D and E are points on sides AB and AC respectively of DeltaA B C such thata r" "(D B C)" "=" "a r" "(E B C) . Prove that D E" "||" "B C .

In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

In Figure, A B C D is a parallelogram and X\ a n d\ Y are points on the diagonal B D such that D X=B Y . Prove that A X C Y is a parallelogram (ii) A X=C Y ,\ A Y=C X A Y B\ ~= C X D (iv) A X D~=\ C Y B

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot