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Show that in a right triangle the hypote...

Show that in a right triangle the hypotenuse is the longest side. GIVEN : A right triangle `A B C` in which `/_A B C=90^0dot` TO PROVE : Hypotenuse `A C` is the longest side, i.e. (i) `A C > A B` (ii) `A C > B C`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. If D is any point on the base B C produced, of an isosceles triangle A...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Of the three angles of a triangle, one is twice the smallest and an...

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  17. Prove that the perimeter of a triangle is greater than the sum of t...

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  18. If the angles of a triangle are in the ratio 2:3:4 . determine three a...

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

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  20. The sum of two angles of a triangle is 80^0 and their difference is 20...

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