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In the given figure ABC is a right trian...

In the given figure ABC is a right triangle and right angled at B such that `/_BCA = 2/_BAC.`
Show that hypotenuse AC = 2BC.

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VGS PUBLICATION-BRILLIANT-TRIANGLES-EXERCISE
  1. In right triangle ABC, right angle is at 'C'. M s the mid-point of hyp...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. ABC is a right angled triangle in which /A = 90^@ and AB = AC. Show th...

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