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In Fig. 4.90, if P O S ~ R O Q , pr...

In Fig. 4.90, if ` P O S ~ R O Q` , prove that `P S Q R` . (FIGURE)

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In Fig. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE)

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RD SHARMA-TRIANGLES-All Questions
  1. In Fig. 4.88, A C B ~ A P Qdot If B C=8c m , P Q=4c m , B A=6. 5 ...

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  2. In Fig. 4.89, if E D C ~ E B A ,\ \ /B E C=115o and /E D C=70o . ...

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  3. In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE...

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  4. In Fig. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE...

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  5. In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 ...

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  6. In Fig. 4.94, /C A B=90o and A D|B C . If A C=75 c m , A B=1m and B...

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  7. The perimeters of two similar triangles A B C and P Q R are resp...

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  8. In Fig. 4.95, if /A D E=/B show that A D E ~ A B C . If A D=3. 8 ...

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  9. In Fig. 4.96, (A O)/(O C)=(B O)/(O D)=1/2 and A B=5c m . Find the ...

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  10. In Fig. 4.97, if /A=/C , then prove that A O B ~ C O D . (FIGU...

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  11. In Fig. 4.98, if A B|B C and D E|A C . Prove that A B C ~ A E ...

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  12. In Fig. 4.99, if /P=/R T S , prove that R P Q ~ R T S . (FIGUR...

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  13. In the given Fig. , if (Q T)/(P R)=(Q R)/(Q S) and /1=/2 . Prove t...

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  14. In Fig. 4.101, A D and C E are two altitudes of A B C . Prove ...

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  15. In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B...

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  16. In Fig. 4.103, C D and G H are respectively the medians of A B ...

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  17. In Fig. 4.104, if B D|A C and C E|A B , prove that (FIGURE) A E...

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  18. D is a point on the side B C of A B C such that /A D C=/B A C . Pr...

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  19. In Fig. 4.106, considering triangles B E P and C P D , prove tha...

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  20. P and Q are points on sides A B and A C respectively of A B C ....

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