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In Fig. 4.132, if A D|B C and (B D)/(...

In Fig. 4.132, if `A D_|_B C` and `(B D)/(D A)=(D A)/(D C)` , prove that ` A B C` is a right triangle. (FIGURE)

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RD SHARMA-TRIANGLES-All Questions
  1. In Fig. 4.128, D E F G is a square and /B A C=90o . Prove tha...

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

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

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

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

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

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

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

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

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  11. 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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  12. 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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  13. 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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  14. In Fig. 4.142, P A ,\ Q B and R C are each perpendicular to A C ...

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  15. In Fig. 4.143, /A=/C E D , prove that C A B C E D . Also, ...

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  16. The perimeters of two similar triangles are 25cm and 15cm respectiv...

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  17. In A B C and D E F , it is being given that: A B=5c m ,\ \ B C=4c...

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  18. D and E are the points on the sides A B and A C respectively of ...

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  19. In A B C , A L and C M are the perpendiculars from the vertices A ...

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  20. In Fig. 4.144, we have A B C D E F . If A B=6c m , C D=x\ c m , E...

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