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In Fig.6.57, D is point on hypothenuse A...

In Fig.6.57,
D is point on hypothenuse AC of `triangleABC`,such that`BD_|_AC,DM_|_BC and DN_|_AB`.Prove that :(i)`DM^2=DN.MC`

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In Fig.6.45,O is a point in the interior of a triangle ABC, OD_|_BC,OE_|_AC and OF_|_AB .Show that (i) OA^2+OB^2+OC^2-OD^2-OE^2-OF^2=AF^2+BD^2+CE^2

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In FIg. 6.40, E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If AD_|_BC and EF_|_AC , prove that triangleABD~triangleECF .

In the right triangleACB, angleC=90^@ and CD_|_AB .Prove that, (BC^2)/(AC^2)=(BD)/(AD)

In Fig.6.60, AD is a median of a triangle ABC and AM_|_BC .Prove that :(i) AC^2=AD^2+BC.DM+((BC)/2)^2

In Fig.6.60, AD is a median of a triangle ABC and AM_|_BC .Prove that :(ii) AB^2=AD^2-BC.DM+((BC)/2)^2

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. Tick the correct answer and a justify :In triangleABC,AB=6sqrt3,AC=12c...

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  2. In Fig.6.56,PS is the bisector of angleQPR of trianglePQR.Prove that (...

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  3. In Fig.6.57, D is point on hypothenuse AC of triangleABC,such thatBD|A...

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  4. In Fig.6.58, ABC is a triangle in which angleABC>90^@ and AD|CBproduce...

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  5. In Fig.6.59, ABC is a triangle in which angleABC<90^@ and AD|BC.Prove ...

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  6. In Fig.6.60, AD is a median of a triangle ABC and AM|BC.Prove that :(i...

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  7. In Fig.6.60, AD is a median of a triangle ABC and AM|BC.Prove that :(i...

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  8. In Fig.6.60, AD is a median of a triangle ABC and AM|BC.Prove that ...

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  9. In Fig.6.61, two chords AB and CD intersect each other at the point P....

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  10. In Fig.6.61, two chords AB and CD intersect each other at the point P....

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  11. In Fig.6.62, two chords AB and CD of a circle intersect each other at ...

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  12. In Fig.6.62, two chords AB and CD of a circle intersect each other at ...

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  13. State basic proportionality theorem.

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  14. In the adjoining figure, DE||BC and AD=1 cm,BD=2 cm.What is the ratio...

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  15. The areas of two similar triangles are 169cm^2 and 121cm^2respectively...

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  16. If triangle ABC and triangleDEFare similar triangle such thatangleA=57...

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  17. If the altitude of two similar triangle are in the ratio 2:3 what is t...

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  18. State Pythagoras theorem.

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  19. The lengths of the diagonals of a rhombus are 30cm and 40cm.Find the s...

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  20. In an isosceles triangleABCif AC=BC and AB^2=2AC^2 then what is the me...

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