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In Fig. 4.116, A B C D is a trapez...

In Fig. 4.116, `A B C D` is a trapezium with `A B D C` . If ` A E D` is similar to ` B E C` , prove that `A D=B C` . (FIGURE)

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RD SHARMA-TRIANGLES-All Questions
  1. In A B C , if A D|B C and A D^2=B DxxD C , prove that /B A C=90o .

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  2. In a A B C ,\ \ B D and C E are the altitudes. Prove that A D B a...

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  3. In Fig. 4.116, A B C D is a trapezium with A B D C . If A E D ...

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  4. If E is a point on side AD produced of a parallelogram ABCD and BE in...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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