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In right triangle A B C , right angle at...

In right triangle `A B C` , right angle at `C ,\ M` is the mid-point of the hypotenuse `A Bdot` `C` is jointed to `M` and produced to a point `D` such that `D M=C Mdot` Point `D` is joined to point `Bdot` Show that ` A M C~= B M D` (ii) `/_D B C=/_A C B` ` D B C~= A C B` (iii) `C M=1/2A B`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively...

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  2. In Figure, P S=Q R\ a n d\ /S P Q=/R Q Pdot Prove that P Q S\ ~=\ Q...

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  3. In right triangle A B C , right angle at C ,\ M is the mid-point of th...

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  4. In Figure, A C=A E ,\ A B=A D\ a n d\ /B A D=/E A Cdot Prove that B C=...

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  5. In Figure, the side B A\ a n d\ C A have been produced such that B ...

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  6. In triangle P Q R , if P Q=R Q\ a n d\ L ,\ M\ a n d\ N are the mid-p...

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  7. In Figure, P Q R S is a square and S R T is an equilateral triangle...

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  8. Prove that the medians of an equilateral triangle are equal.

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  9. In a A B C , if /A=120^0a n d\ A B=A Cdot Find /B\ a n d\ /C

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  10. In A B C , if A B=A C\ a n d\ /B=70^0, find /A

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  11. The vertical angle of an isosceles triangle is 100^0dot Find its ba...

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  12. In Figure, A B=A C\ a n d\ /A C D=100^0, find /B A C

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  13. Find the measure of each exterior angle of an equilateral triangle.

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  14. If the base of an isosceles triangle is produced on both sides, pro...

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  15. In Figure, A B=A C\ a n d\ D B=D C , find the ratio /A B D\ :\ /A C D

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  16. Determine the measure of each of the equal angles of a right-angled...

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  17. A B C is a right-angled triangle is which /A=90^0a n d\ A B=A Cdot ...

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  18. A B is a line segment. P\ a n d\ Q are points on opposite sides of A...

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  19. In Figure, diagonal A C of a quadrilateral A B C D bisects the angles ...

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  20. A B is a line segment. A X\ a n d\ B Y are two equal line segments d...

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