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If two isosceles triangles have a common...

If two isosceles triangles have a common base, prove that the line joining their vertices bisects them at right angles.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, it is given that A B=C D\ a n d\ A D=B C. Prove that A D...

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

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

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

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

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

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

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  8. 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...

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  9. In Figure, A B=A C ,\ D is the point in the interior of A B C such ...

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

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  11. In A P Q R , if P Q=QR\ a n d\ L ,\ M\ a n d\ N are the mid-points of...

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  12. A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that...

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  13. In Figure, it is given that L M=M N ,\ Q M=M R ,\ M L\ |P Q\ a n d\...

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  14. If A B C is an isosceles triangle such that A B=A C and A D is an alti...

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  15. P is a point equidistant from two lines l and m intersecting at poi...

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  16. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

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  17. A B C is a triangle is which B E and C F are, respectively, the perpen...

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  18. In perpendiculars from any point within an angle on its arms are co...

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  19. In Figure, A D\ |C D\ and C B\ | CD If A Q=B P\ a n d\ D P=C Q , prov...

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  20. A B C D is a square, X\ a n d\ Y are points on sides A D\ a n d\ B C r...

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