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Prove that area of the equilateral tria...

Prove that area of the equilateral triangle described on the side of a square is half. The area of the equilateral triangle described on its diagonal.

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Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.

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.

Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angle triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides.

Prove that the sum of the squares drawn on the sides of a square is equal to the sum of the squares drawn on its diagonals.

Prove that the Pedal triangle of an equilateral triangle is also an equilateral triangle.

If one side of an equilateral triangle measures 10cm. find its height.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding altitudes.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding medians.

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KALYANI PUBLICATION-AREA OF SIMILAR TRIANGLES-EXERCISE
  1. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 121 cm^2. If ...

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  2. ABC is a triangle. D and E are two points on AB and AC respectively su...

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  3. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 169 cm^2. If ...

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  4. If triangle ABCis similar to triangleDEF such that BC = 4 cm, EF = 5 c...

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

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  6. ABC is a triangle. D and E are two points on AB and AC respectively su...

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  7. A line DE is parallel to the base BC of /\ABC which meets side AB and ...

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  8. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

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  9. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

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  10. ABC is a triangle of area 256 cm^2. XY is drawn parallel to BC meeting...

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  11. Prove that the areas of two similar triangles are in the ratio of the ...

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  12. Prove that the areas of two similar triangles are in the ratio of the ...

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  13. Prove that the areas of two similar triangles are in the ratio of the ...

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  14. If the areas of a similar triangle are equal,prove that they are congr...

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  15. The areas of two similar triangles are 81 cm^2 and 49 cm^2 respectivel...

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  16. The areas of two similar triangles are 121 cm^2 and 64 cm^2 respective...

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  17. If /\ABC~/\DEF in which AX and DY are the bisector of /A and /D respe...

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  18. Prove that area of the equilateral triangle described on the side of ...

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  19. ABCD is a trapezium in which AB||DC and AB= 2DC. Determine the ratio o...

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  20. In a trapezium ABCD, O is the point of intersection of AC and BD, AB||...

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