Home
Class 7
MATHS
In an isosceles triangle, prove that the...

In an isosceles triangle, prove that the angles opposite to equal sides are equal.

Text Solution

Verified by Experts

The correct Answer is:
`angleB=angleC`
Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE

    ICSE|Exercise EXERCISE 21|23 Videos
  • ALGEBRAIC EXPRESSIONS

    ICSE|Exercise EXERCISE 13B |37 Videos
  • CONGRUENCE OF TRIANGLES

    ICSE|Exercise Try this|12 Videos

Similar Questions

Explore conceptually related problems

Show that in an isosceles triangle, angles opposite to equal sides are equal.

Prove that In a parallelogram, opposite side are equal

If two lines intersect prove that the vertically opposite angles are equal

Fill in the blanks in the following so that each of the following statements is true. (i) Sides opposite to equal angles of a triangle are ....... (ii) Angle opposite to equal sides of a triangle are ....... (iii) In an equilateral triangle all angles are ....... (iv) In a A B C if /_A=/_C , then A B=\ ..... (v) If altitudes C E\ a n d\ B F of a triangle A B C are equal, then A B= ........ (vi) In an isosceles triangle A B C with A B=A C , if B D\ a n d\ C E are its altitudes, then B D is .......... C E . (vii) In right triangles A B C\ a n d\ D E F , if hypotenuse A B=E F and side A C=D E , then A B C\ ~= ....

An isosceles triangle has base 20cm and each of the two equal sides measures 18 cm. What is its perimeter?

The perimeter of an isosceles triangle is 49 m and the length of one of its equal sides is 17m. Find the length of the base of the triangle.

Find the area of an isosceles triangle which has base 12 cm and equal sides are 10 cm each.

If a line is drawn parallel to the base of an isosceles triangle to intersect its equal sides, prove that the quadrilateral, so formed is cyclic.

If two sides of a cyclic quadrilateral are parallel, prove that the remaining two sides are equal and the diagonals are also equal. OR A cyclic trapezium is isosceles and its diagonals are equal.

The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm is

ICSE-CONGRUENCE-EXERCISE 21
  1. In an isosceles triangle, prove that the angles opposite to equal side...

    Text Solution

    |

  2. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

    Text Solution

    |

  3. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

    Text Solution

    |

  4. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

    Text Solution

    |

  5. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

    Text Solution

    |

  6. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  7. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  8. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  9. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  10. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  11. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  12. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  13. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  14. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  15. In the given figure, AB=CD and AD=CB. Prove that : (i) DeltaABD=Delt...

    Text Solution

    |

  16. In the given figure, angleSPR=angleQRP and angleRSP=anglePQR. Prove th...

    Text Solution

    |

  17. In the given figure we have AO=BO and CO=DO. Prove that : (i) DeltaA...

    Text Solution

    |

  18. In the given figure, ABbotBD,CDbotBD and AB=CD. Prove that : (i) Del...

    Text Solution

    |

  19. In the given figure, PLbotOA and PMbotOB such that OL=OM. Prove that :...

    Text Solution

    |

  20. In the given figure, we have PQ=SR and PR=SQ. Prove that : (i) Delta...

    Text Solution

    |

  21. In the given figure, we have ACbotCD,BCbotCD and DA=DB. Prove that : C...

    Text Solution

    |