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

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  2. In triangle ABC, DE||BC and AD = 1/3 BD. If BC = 4.5cm, Find DE.

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  3. In the adjacent figure triangle AHK ~ triangle ABC. If AK = 10cm, BC ...

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  4. In the adjacent figures, S and T are points on the sides PQ and PR res...

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  5. In the adjacent figure, (OA)/(OC) = (OD)/(BC). Prove that angle A = a...

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  6. In the adjacent figure, if triangle PQS ~triangle ROQ, prove that PS||...

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  7. In the adjacent figure, QA and PB are perpendiculars to AB. IF AO= 10c...

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  8. In the adjacent figure DE||BC and (AD)/(DB) = 3/5. If AC = 4.8cm, f...

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  9. P and Q are points on sides AB and AC respectively of triangle ABC. I...

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  10. Prove that if the area of two similar triangles are equal, then they a...

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  11. In the trapezium ABCD,AB||CD and AB = 2CD. If the area of triangle AOB...

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  12. D,E,F are the mid points of the sides BC, CA and AB respectively of a ...

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  13. If two triangles are equiangular, prove that the ratio of the correspo...

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  14. If two traingles are equilatangular prove that the ratio of the corres...

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  15. In the adjacent figure, triangle ABC and triangle DBC are on the same ...

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  16. The areas of two similar triangles ABC and PQR are in the ratio 9 : 16...

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  17. In the following a, b and c denote the lenghts of the sides of a trian...

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  18. In the following a, b and c denote the lenghts of the sides of a trian...

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  19. In the following a, b and c denote the lenghts of the sides of a trian...

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  20. In the following a, b and c denote the lenghts of the sides of a trian...

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

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