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If the bisector of an angle of a triangl...

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

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VGS PUBLICATION-BRILLIANT-TRIANGLES-EXERCISE
  1. In the figure given below AC=AE ABAD and angelBAD= angelEAC. Show that...

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  2. In right triangle ABC, right angle is at 'C'. M s the mid-point of hyp...

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  3. If the bisector of an angle of a triangle also bisects the opposite si...

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  4. In the given figure ABC is a right triangle and right angled at B such...

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  5. In DeltaABC, the bisector AD of A is perpendicular to side BC Show tha...

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  6. In the given figure, AB=BC and AC=CD. Prove that angelBAD: angelADB = ...

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  7. In an isosceles triangle ABC with AB = AC, D and E are points on BC su...

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  8. In an isosceles triangle ABC, with AB =AC, the bisectors of angleB and...

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  9. In triangleABC, AD the perpendicular bisector of BC (see given figure)...

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  10. ABC is a triangle in which altitudes BD and CE to sides AC and AB are ...

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  11. triangleABC and triangleDBC are two isosceles triangles on the same ba...

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  12. Through construction we have seeri that SSS congruency rule hold. This...

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  13. In the figure given below triangleABC and triangleDBC are two triangle...

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

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  15. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show ...

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  16. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show ...

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  17. Two sides AB, BC and median AM of one triangle ABC are respectively eq...

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  18. BE and CF are two equal altitudes of a triangle ABC. Using RHS congrue...

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  19. triangleABC is an isosceles triangle in which AB = AC. Show angleB=ang...

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  20. DeltaABC is an isosceles triangle in which AB = AC. Side BA is produc...

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