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If the bisector of the vertical angle of...

If the bisector of the vertical angle of a triangle bisects the base of the triangle. then the triangle is isosceles. GIVEN : triangle A B C in which A D is the bisector of angle A meeting B C in `D` such that `B D=DC TO PROVE : ` triangleA B C` is an isosceles triangle.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. Two lines A B and C D intersect at O such that B C is equal and parall...

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  2. In Figure, A C=B C ,/D C A=/E C B and /D B C=/E A Cdot Prove that tria...

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  3. If the bisector of the vertical angle of a triangle bisects the base...

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  4. In an isosceles triangle altitude from the vertex bisects the base....

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  5. If the altitude from one vertex of a triangle bisects the opposite ...

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  6. Angles opposite to two equal sides of a triangle are equal. GIVEN :...

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  7. Prove that the perimeter of a triangle is greater than the sum of i...

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  8. In A B C , side A B is produced to D so that B D=b cdot If /B=60^0 an...

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  9. Prove that in a quadrilateral the sum of all the sides is greater t...

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  10. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

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  11. GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S ...

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  12. In Figure, A B and CD are respectively the smallest and longest side...

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  13. Of all the line segments drawn from a point P to a line m not containi...

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  14. In Figure, A D is a median and B L ,C M are perpendiculars drawn from ...

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  15. In Figure, B M and D N are both perpendiculars to the segments A C and...

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  16. If A B C is an isosceles triangle with A B=A C . Prove that the ...

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  17. If the altitudes from two vertices of a triangle to the opposite si...

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  18. A D and B C are equal perpendiculars to a line segment A B . Show that...

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  19. In A B C ,A B=A C , and the bisectors of angles B and C intersec...

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  20. In Figure, it is given that A B=E F ,B C=D E ,A B|B D and F E|C Edot P...

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