30. Prove that the area of an equilateral
triangle described on one side of the square
is equal to half the area of the equilateral
triangle described on one of its diagonals,
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Answer:
We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, area of equilateral triangle described on one side of square is equal to half the area of the equilateral triangle described on one of its diagonals.
Step-by-step explanation:
We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, area of equilateral triangle described on one side of square is equal to half the area of the equilateral triangle described on one of its diagonals.
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