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In an equilateral triangle, prove that t...

In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

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Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding altitudes.

prove by using the principle of similar triangles that: in a right angle triangle, the square on the hypotenuse is equal to the sum of squares on the two other sides. (Pythagoras theorem)

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. The perpendicular from A on side BC of atriangleABC intersects BC at ...

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  2. In an equilateral triangle ABC, D is a point on side BC such that BD =...

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  3. In an equilateral triangle, prove that three times the square of one s...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. State basic proportionality theorem.

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

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

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

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

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