Home
Class 9
MATHS
In two right triangles one side an ac...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

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.

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.

If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent. GIVEN : Two s A B C and D E F such that /_A=/_D ,/_B=/_E ,B C=E F TO PROVE : A B C~=D E F Figure

Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle. GIVEN : Two triangles A B C and D E F such that A B=D E ,A C=D F and /_A=/_D PROVE : A B C~= D E F Figure

If two sides of a right triangles containing right angle , are equal to corresponding sides of another right angle triangle , the triangle are congruent.

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle. Can you say that two triangles will be similar? Why?

If two angles and a side of one triangles are equal to two angles and a side of another triangles , the triangles are congruent.

If two sides and a median bisecting the third side of a triangle ar respectively proportional to the corresponding sides and median of the other triangle; then the two triangles are similar.

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

If two sides and an angle of one triangle are equal to two sides and an angle of another triangle , then the two triangles must be congruent’. Is the statement true? Why?

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, line segments A B is parallel to another line segment C...

    Text Solution

    |

  2. In Figure, line segments A B is parallel to another line segment...

    Text Solution

    |

  3. In two right triangles one side an acute angle of one are equal to ...

    Text Solution

    |

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

    Text Solution

    |

  5. In an isosceles triangle, if the vertex angle is twice the sum of t...

    Text Solution

    |

  6. P Q R is a triangle is which P Q=P R\ a n d\ S is any point on the ...

    Text Solution

    |

  7. In a A B C , it is given that A B=A C and the bisectors of /B\ a n d\...

    Text Solution

    |

  8. P is a point on the bisector of an angle /A B Cdot If the line thro...

    Text Solution

    |

  9. Prove that each angle of an equilateral triangle is 60^0

    Text Solution

    |

  10. Angle A ,\ B ,\ C of a triangle A B C are equal to each other. Prov...

    Text Solution

    |

  11. A B C is a triangle in which /B=2/C. D is a point on B C such that A D...

    Text Solution

    |

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

    Text Solution

    |

  13. In Figure, it is given that A B=C D\ a n d\ A D=B C. Prove that A D...

    Text Solution

    |

  14. A B C D is a parallelogram, if the two diagonals are equal, find the...

    Text Solution

    |

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

    Text Solution

    |

  16. A B C\ a n d\ D B C are two isosceles triangles on the same bas B ...

    Text Solution

    |

  17. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

    Text Solution

    |

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

    Text Solution

    |

  19. In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C ar...

    Text Solution

    |

  20. In Figure, A D=B C\ a n d\ B D=C A. Prove that ∠A D B= ∠B C A a n d ∠D...

    Text Solution

    |