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Show that the difference of any two si...

Show that the difference of any two sides of a triangle is less than the third side. Given : `A\ A B C` To Prove: (i) `A C-A BltB C` `B C-A CltA B` (iii) `B C-A BltA C` Construction: Take point `D` on `A C` such that `A D=A B` . Join `B D`

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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. Prove that any two sides of a triangle are together greater than twi...

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

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

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

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

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

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

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  9. Of all the lines segments drawn from a point P to a line m not conta...

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

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  11. 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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  12. 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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  13. In Figure, A B\ a n d\ C D are respectively the smallest and longest...

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

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

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

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

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

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