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In Figure, P Q R is a triangle and S is ...

In Figure, `P Q R` is a triangle and `S` is any point in its interior, show that `SQ+SR < PQ+PR.` Given : `S` is any point in the interior of ` P Q R` To Prove : `S Q+S R < P Q+P R` Construction: Produce `Q S` to meet `P R` in `T`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. Prove that the perimeter of a triangle is greater than the sum of it...

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

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

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

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

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

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

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  9. In Figure, /E >/A\ a n d\ /C >/D . Prove that A D > E C

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  10. In Figure, T is a point on side Q R of P Q R and S is a point such th...

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  11. In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddo...

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  12. In Figure, A B\ a n d\ C D are respectively the smallest and longes...

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  13. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and s...

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  14. In a A B C , if /B=/C=45^0, which is the longest side?

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  15. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

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  16. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m...

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  17. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

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  18. O is any point in the interior of A B Cdot Prove that A B+A C > O...

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  19. Prove that the perimeter of a triangle is greater than the sum of i...

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  20. Prove that in a quadrilateral the sum of all the sides is greater t...

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