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Prove that the area of an equilateral tr...

Prove that the area of an equilateral triangle with sides equal to the sides of a square is half the area of the equilateral triangle with sides equal to țhe length of the diagonals of the square.

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. Prove that the area of an equilateral triangle with sides equal to the...

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  2. All circles are . (congruent, similar)

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  3. All squares are -. (Similar, congruent)

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  4. All triangles are similar. (isosceles, equilateral)

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  5. Two polygons of the same number of sides are similar, if(a) their corr...

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  6. Two polygons of the same number of sides are similar, if(b) their corr...

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  7. Give two different examples of pair of(i) similar figures

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  8. Give two different examples of pair of((ii) non-simiIar figures

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  9. State whether foIIowing quadrilaterals are similar or not:

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  10. In fig(i) ,DE||BC.Find EC in (i).

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  11. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  12. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  13. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  14. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

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  15. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

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  16. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

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  17. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

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  18. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

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  19. Using Theorem 6.2, prove that the line joining the mid-points of any t...

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  20. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

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  21. The diagonals of a quadrilateral ABCD intersect each other at the poin...

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