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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-CONGRUENT TRIANGLE -All Questions
  1. In a triangle A B C ,/A B C=/A C B and the bisectors of /A B C and /...

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  2. In Figure, /B C D=/A D C and /A C B=/B D Adot Prove that A D=B C and /...

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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 two right triangles, one side and an acute angle of one triangle...

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  5. If Figure, if Q T|P R ,/T Q R=40^0 AND /S P R=30^0, find x and ydot F...

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  6. If D is any point on the base B C produced, of an isosceles triangle A...

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  7. sides Q P and R Q of P Q R are produced to point S and T respectively....

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  8. Show that in a right triangle the hypotenuse is the longest side. GI...

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  9. An exterior angle of a triangle is 110^0 , and one of the interior opp...

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

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  11. The sides B C ,C A and A B of a triangle A B C , are produced in or...

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

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  13. Prove that the sum of the three angles of a triangle is 180^0dot

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  14. In a triangle A B C , if /A=50^0 and /B=60^0 , determine the shortest...

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  15. Two parallel lines l and m are intersected by a transversal p . Show...

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  16. In figure, sides L M and L N of L M N are extended to P and Q respect...

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  17. In a triangle A B C, /B=105^0,/C=50^0, Find /A

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  18. In figure, P Q=P R . Show that P S > P Q.

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  19. The sum of two equal angles of a triangle is equal to its third ang...

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  20. In figure, A B > A C. Show that A B > A D.

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