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In Fig.6.56,PS is the bisector of angleQ...

In Fig.6.56,PS is the bisector of `angleQPR of trianglePQR`.Prove that `(QS)/(SR)=(PQ)/(PR)`.

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If PS is the altitude on the base QR trianglePQR ,then prove that PQ^2+SR^2=PR^2+QS^2

If in triangleABC and trianglePQR we have (AB)/(QR)=(BC)/(PR)=(CA)/(PQ) then

If AD and PM are medians of triangles ABC and PQR,respectively where triangleABC~trianglePQR ,prove that (AB)/(PQ)=(AD)/(PM) .

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

In Fig.6.61, two chords AB and CD intersect each other at the point P.Prove that :(ii)PA.PB=CP.DP

In Fig.6.60, AD is a median of a triangle ABC and AM_|_BC .Prove that :(iii) AC^2+AB^2=2AD^2+1/2BC^2

In Fig.6.61, two chords AB and CD intersect each other at the point P.Prove that :(i) triangleAPC~triangleDPB

In Fig.6.59, ABC is a triangle in which angleABC<90^@ and AD_|_BC .Prove that AC^2=AB^2+BC^2-2BC.BD .

If Fig. 6.3 ,ABC and AMP are two right triangles right angled at B and M respectively.Prove that : (ii) (CA)/(PA)=(BC)/(MP)

R G PUBLICATION-TRIANGLES-EXERCISE
  1. In an equilateral triangle, prove that three times the square of one s...

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  2. Tick the correct answer and a justify :In triangleABC,AB=6sqrt3,AC=12c...

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

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

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

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

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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 :(i...

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

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

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

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  14. State basic proportionality theorem.

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

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

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

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

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  19. State Pythagoras theorem.

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

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