Home
Class 10
MATHS
In figure, If LM || CB and LN || CD, pr...

In figure, If LM || CB and LN || CD, prove that `(A M)/(A B)=(A N)/(A D)`.

Text Solution

Verified by Experts

In`/_ABC` LM||BC
`(AM)/(MB)=(AL)/(LC)-(1)`
In`/_ACD` LN||CB
`(AC)/(LC)=(AN)/(ND)-(2)`
`1+(AM)/(MB)=1+(AN)/(ND)`
`(AM+MB)/(AM)=(AN+ND)/(AN)`
`(AB)/(AM)=(AD)/(AN)`
`(AM)/(AB)=(AN)/(AD)`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|14 Videos
  • TRIANGLES

    NCERT ENGLISH|Exercise Exercise 6.4|9 Videos
  • TRIANGLES

    NCERT ENGLISH|Exercise EXERCISE 6.3|16 Videos
  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Exercise 13.3|9 Videos

Similar Questions

Explore conceptually related problems

In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

In the given figure, if x = y and AB = CB , then prove that AE = CD .

In Figure DE||BC and CD||EF. Prove that A D^2=A B*A F .

In Figure A B D C\ a n d\ A D B Cdot Prove that /_D A B=\ /_D C B

In Figure, if A B=A C\ a n d\ /_B=/_Cdot Prove that B Q=C P

In Figure, if /_\ A B E~= /_\A C D , prove that /_\ A D E ~ /_\ A B C .

In the given figure AC = BD, prove that AB = CD.

In Figure, A D=B C\ a n d\ B D=C A . Prove that ∠A D B= ∠B C A a n d ∠D A B=∠ C B A .