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In Figure, P Q > P R. Q S\ a n d\ R S ar...

In Figure, `P Q > P R. Q S\ a n d\ R S` are the bisectors of `/_ Q` and `/_R` respectively. Prove that `S Q > S R`.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In a A B C ,\ if /A=45^0\ a n d\ /B=70^0dot Determine the shortest ...

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  2. In a A B C , if /A=50^0\ a n d\ /B=60^0 , determine the shortest a...

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  3. In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of / Q and /R ...

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  4. In Figure, sides L M\ a n d\ L N OF /\ LMN are extended to P\ a n d\ Q...

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  5. In Figure, P Q=P Rdot Show that P S > P Q

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  6. In Figure, A B > A C. Show that A B > A D.

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  7. If D is any point on the base B C produced, of an isosceles tria...

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  8. In Figure, if A D is the bisector of L A , show that: A B > B D (ii) ...

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  9. Show that in a right angled triangle, the hypotenuse is the longest...

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  10. In Figure, A C > A B and A D is the bisector of / A . Show that A D C ...

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  11. Show that the sum of the three altitudes of a triangle is less than...

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  12. Prove that any two sides of a triangle are together greater than tw...

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  13. Prove that the perimeter of a triangle is greater than the sum of it...

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  14. Show that the difference of any two sides of a triangle is less than...

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  15. In Figure, P Q R is a triangle and S is any point in its interior, s...

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  16. In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P ...

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  17. In Figure, A P\ |l\ a n d\ P R > P Q . Show that A R > A Q.

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  18. In Figure, P Q R S is a quadrilateral. P Q is its longest side and R...

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  19. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

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  20. Of all the lines segments drawn from a point P to a line m not cont...

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