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

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-PROPERTIES OF TRIANGLES-All Questions
  1. Two angles of a triangle are equal and the third angle is greater t...

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  2. If one angle of a triangle is equal to the sum of the other two, sh...

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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. In each of the following, the measures of three angles are given. St...

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  5. The angles of a triangle are in the ratio 3:4: 5. Find the smallest...

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  6. Two acute angles of a right triangle are equal. Find the two angles...

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  7. One angle of a triangle is greater than the sum of the other two. Wh...

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  8. In the six cornered figure, (fig.20), AC,AD and AE are joined. Find /...

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  9. Find x , y , z ( whichever is required) in the figures (fig.21) giv...

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  10. If one angle of a triangle is 60^0 and the other two angles are ...

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  11. If one angle of a triangle is 100^0 and the other angles are in ...

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  12. In a A B C ,\ if\ 3/ \ A=4/ B=6/ C , calculate the angles.

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  13. Is it possible to have triangle, in which Two of the angles are ...

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  14. In A B C ,/A=100^0 ,A D\ b i s e c t s\ /A\ a n d\ A D|B Cdot f i n d...

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  15. In A B C ,/A=50^0,/B=70^0 and bisector of /C\ m e e t s\ A B\ a t\ Dd...

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  16. In A B C , /A=60^0,\ /B=80^0 and the bisectors of /B\ a n d\ /C meet ...

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  17. The bisectors of the acute angles of a right triangle meet at O . F...

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  18. In A B C ,\ /A=50^0\ a n d\ B C is produced to a point D. The bise...

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  19. In A B C ,\ /B=60^0,/C=40^0,\ A L|B C\ a n d\ A D bisects /A such tha...

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  20. Line segments AB and CD intersect at O such that A C||D B . If /C A...

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