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Prove that three times the square of any...

Prove that three times the square of any side of an equilateral Triangle is equal to four times the square of the altitude.

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BEYOND PUBLICATION-SIMILAR TRIANGLES-EXERCISE
  1. In the following a, b and c denote the lenghts of the sides of a trian...

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  2. Two poles of heights 23m and 30m stand on the plane ground. If the dis...

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  3. Prove that three times the square of any side of an equilateral Triang...

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  4. A man goes 40m due East and then 96m due North. Find the distance from...

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  5. A ladder 26m, long reaches a window of a house 24m above the ground. D...

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  6. In a quadrilateral ABCD, angleB = 90^0, AD^2= AB^2 + BC^2 + CD^2. P...

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  7. In the adjacent figure, ABC is a triangle in which angle ABC < angle 9...

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  8. In triangle ABC, angle C = angle 90, D is the mid point of BC, Prove...

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  9. Determine whether the triangle having sides (a - 1)cm, 2 sqrt a cmand ...

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  10. In an equilateral triangle ABC, ADbotBC meeting BC in D then AD^2=…………...

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  11. In a paralledogram, the sum of the square of the lengths of the diagon...

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  12. From the figure angle DAC

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  13. The ratio of the corresponding sides of two similar triangles is 5:3. ...

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  14. If triangle ABC ~ triangle DEF, BC = 4 cm, EF = 5 cm and area triangle...

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  15. In the figure, DE//BC and AD:DB=1:2 then areaDeltaADE:DeltaABC=

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  16. DeltaABC~DeltaPQR, M is the midpoint of BC and N is the midpoint of QR...

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  17. In DeltaPQR,PQ=6sqrt3cm, PR=12cm and QR=6cm , then angleQ=

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  18. The lengths of diagonals of a rhombus are 24 cm and 32 cm, then the pe...

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  19. Which of the following does not belongs to side of the right triangle?

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  20. In an isosceles DeltaPQR,PR=QR and PQ^2=2PR^2, then angleR=

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