Home
Class 10
MATHS
In Figure, /B A C=90^0,A D is its bisect...

In Figure, `/_B A C=90^0,A D` is its bisector. If `D E_|_A c` , prove that `D Ex(A B+A C)=A BxA C`

Text Solution

Verified by Experts

The correct Answer is:
`=ABxxAC`.
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Subjective Problems) (Long Answer Type)|7 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Integer Numerical Value Type)|10 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Subjective Problems) (Very Short Answer Type)|10 Videos

  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

If a

In Fig. 4.124, E is a point on side C B produced of an isosceles triangle A B C with A B=A C . If A D_|_B C and E F_|_A C , prove that (i) A B D E C F (ii) A BxxE F=A DxxE C . (FIGURE)

In figure A B=A C\ a n d\ C P||B A and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A (ii) A B C P is a parallelogram

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A B=10 c m , A C=14 c m and B C=6c m , find B D and D C (ii) If A C=4. 2 c m , D C=6c m and B C=10 c m , find A B . (iii) If A B=5. 6 c m , A C=6c m and D C=3c m , find B C .

In Figure, A B C is an isosceles triangle in which A B=A CdotC P A B and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A and (ii) A B C P is a parallelogram.

In a parallelogram A B C D , the bisector of /_A also bisects B C at Xdot Prove that A D=2A B

In figure, ABC is triangle in which /_A B C > 90o and A D_|_C B produced. Prove that A C^2=A B^2+B C^2+2B C.B D .

In Figure, A B C D is a trapezium in which A B||D C ,\ \ D C is produced to E such that C E=A B , prove that a r( A B D)=a r\ ( B C E)dot Construction: Draw D M\ on B A produced and B N_|_D C

In Figure, it is given that A B=E F ,B C=D E ,A B_|_B D and F E_|_C Edot Prove that A B D~=F E Cdot Figure

In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prove that a r( A D E)=a r( B C F)