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If each angle of a triangle is less t...

If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

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RD SHARMA ENGLISH-TRIANGLE AND ITS ANGLES-All Questions
  1. In a triangle A B C ,\ /A B C=\ /A C B and the bisectors of /A B C\ a...

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  2. Can a triangle have: Two right angles? (ii) Two obtuse angles? Two acu...

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  3. If each angle of a triangle is less than the sum of the other two, ...

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  4. An exterior angle of a triangle is 11 0^0, and one of the interior ...

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  5. The sides B C ,\ C A\ a n d\ A B\ of a triangle A B C , are produced...

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  6. In Figure, if Q T|P R ,\ /T Q R=40^@\ a n d\ \ /S P R=30^@, find x\ a ...

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  7. In Figure, side Q P\ a n d\ R Q of P Q R are produced to point S\ a n...

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  8. In Figure, /X=62^@,\ /X Y Z=54^@. If Y O\ a n d\ Z O are bisectors of ...

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  9. In Figure, if A B\ || D E ,\ /B A C=35^0a n d\ /C D E=53^0, find /D C ...

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  10. In Figure, if lines P Q\ a n d\ R S intersect at a point T such that /...

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  11. In Figure, if P Q|P S ,\ P Q S R ,\ /S Q R=28^0a n d\ /Q R T=65^0, th...

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  12. The side B C of a A B C is produced on both sides. Show that the s...

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  13. Sides B C ,\ C A\ a n d\ B A of a triangle A B C are produced to D ,\ ...

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  14. In Figure, the side B C\ of /\A B C is produced to form ray B D as...

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  15. Prove that the angle between internal bisector of one base angle an...

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  16. The side B C\ of a A B C is produced, such that D is one ray B Cdot ...

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  17. The exterior angles, obtained on producing the base of a triangle b...

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  18. In a triangle A B C , the internal bisectors of /B\ a n d\ /C meet...

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  19. In Figure, the sides B C ,\ C A\ a n d\ A B of a A B C have been prod...

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  20. Compute the value of x in each of the following figures:

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