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In Fig. 4.122, A D and B E are res...

In Fig. 4.122, `A D` and `B E` are respectively perpendiculars to `B C` and `A C` . Show that: (FIGURE) ` A D C B E C` (ii) `C AxxC E=C BxxC D` (iii) ` A B C D E C` (iv) `C DxxA B=C AxxD E`

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RD SHARMA-TRIANGLES-All Questions
  1. If E is a point on side AD produced of a parallelogram ABCD and BE in...

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  2. In Fig. 4.121, A B C is a right triangle right angled at B and D...

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  3. In Fig. 4.122, A D and B E are respectively perpendiculars to B ...

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  4. In Fig. 4.124, E is a point on side C B produced of an isosce...

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  5. In Fig. 4.125, F E C~= G B D and /1=/2 . Prove that A D E A ...

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  6. In Fig. 4.126, (O A)/(O C)=(O D)/(O B) . Prove that /A=/C and /B...

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  7. In Fig. 4.128, D E F G is a square and /B A C=90o . Prove tha...

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  8. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

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  9. In Fig. 4.132, if A D|B C and (B D)/(D A)=(D A)/(D C) , prove th...

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  10. In Fig. 4.133, if A B E~= A C D , prove that A D E A B C . (...

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  11. In Fig. 4.134, /A C B=90o and C D|A B . Prove that (C B^2)/(C A^...

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  12. In Fig. 4.136, A C B A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c...

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  13. A vertical stick 10 cm long casts a shadow 8 cm long. At the same t...

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  14. In Fig. 4.137, A B Q R . Find the length of P B . (FIGURE)

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  15. In Fig. 4.138, X Y B C . Find the length of X Y .

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  16. In a right angled triangle with sides a and b and hypotenuse c ,...

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  17. In Fig. 4.139, /A B C=90o and B D|A C . If B D=8c m , A D=4c m , fi...

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  18. In Fig. 4.140, /A B C=90o and B D|A C . If A B=5. 7 c m , B D=3. 8\...

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  19. In Fig. 4.141 D E B C such that A E=(1//4)A C . If A B=6c m , find...

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  20. In Fig. 4.142, P A ,\ Q B and R C are each perpendicular to A C ...

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