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– Anon

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- Prove that area of equilateral triangle on one side of a square is equal to half area of equilateral triangle on one of its diagonals.
- Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio
- ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is
- D, E and F are respectively the mid-points of sides AB, BC and CA of ▲ABC. Find the ratio of the areas of ▲DEF and ▲ABC.
- Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

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