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In a right angled triangle, one acute angle is double the other. Prove that the hypotenuse is double the smallest side. GIVEN : A `A B C` in which `/_B=90^0` and `/_A C B=2/_C A B` . to prove : `A C=2B C`

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. A triangle A B C is an isosceles triangle if any one of the followin...

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  2. In a triangle A B C , if 2/A=3/B=6/C , determine /A ,/B and /C.

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  3. In a right angled triangle, one acute angle is double the other. Pro...

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  4. The sides A B and A C of a A B C are produced to P and Q respectively....

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  5. In Figure, B D and C E are two altitudes of a A B C such that B D=...

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  6. The side B C\ of a triangle A B C is produced, such that D is on the ...

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  7. In Figure, A P and B Q are perpendiculars to the line segment A B and ...

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  8. In Figure, /X=62^0,/X Y Z=54^0dot If Y O and Z O are bisectors of /X Y...

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  9. AD and BE are respectively altitudes of triangle ABC such th...

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  10. In Figure, /Q P R=/P Q R and M and N are respectively on side...

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  11. In Figure, line segment A B is parallel to another line segment C D ...

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  12. A D and B E are respectively altitudes of an isosceles triangle A B...

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  13. P Q R is a triangle in which P Q=P R and S is any point on the side P ...

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  14. If the bisector of the exterior vertical angle of a triangle be par...

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  15. Prove that Two right triangles are congruent if the hypotenuse and o...

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  16. AD, BE and CF , the altitudes of triangle ABC are eq...

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  17. A point O is taken inside an equilateral four sided figure A B C D suc...

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  18. In Delta P Q R , if P Q=Q R and L ,M and N are the mid...

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  19. If two isosceles triangles have a common base, prove that the line ...

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  20. Side Side Side(SSS) Congruence : Two triangles are congruent if the th...

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