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In two right triangles, one side and an ...

In two right triangles, one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle. Prove that the two triangles are congruent.

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To prove that the two right triangles are congruent based on the given conditions, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Triangles and Given Information**: - Let triangle ABC be one right triangle with a right angle at B. - Let triangle DEF be another right triangle with a right angle at E. - We are given that: ...
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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. 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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  2. If each angle of a triangle is less than the sum of the other two, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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