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Prove that the area of the equilatera...

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

Area of an equilateral triangle

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 described on a side of a right-angled isosceles triangle is half the area of the equilateral triangle described on its hypotenuse.

Prove that area of an equilateral triangle formed on one side of a given square is one half of area of equilateral triangle formed on diagonal is the same square.

What is the area of an equilateral triangle of side 10 cm?

Find the area of an equilateral triangle of side 6 cm.

RD SHARMA-TRIANGLES-All Questions
  1. If A B C D E F such that area of A B C is 9\ c m^2 and the a...

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  2. In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot ...

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  3. Prove that the area of the equilateral triangle described on the si...

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  4. In Fig. 4.170, A B C D is a trapezium in which A B D C and A B=...

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  5. D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B resp...

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  6. D and E are points on the sides A B and A C respectively of a A...

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  7. Two isosceles triangles have equal vertical angles and their areas ...

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  8. In Fig. 4.176, X Y A C and X Y divides triangular region A B C ...

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  9. Triangles A B C and D E F are similar. If area ( A B C)=16\ c m^2 ,...

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  10. Triangles A B C and D E F are similar. If area ( A B C)=36\ c m^2 ,...

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  11. In Fig. 4.177, A C B A P Q . If B C=10 c m , P Q=5c m , B A=6. 5...

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  12. The areas of two similar triangles are 81\ c m^2 and 49\ c m^2 resp...

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  13. The areas of two similar triangles are 169\ c m^2 and 121\ c m^2 re...

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  14. Two isosceles triangles have equal vertical angles and their areas ...

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  15. The areas of two similar triangles are 25\ c m^2 and 36\ c m^2 resp...

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  16. The corresponding altitudes of two similar triangles are 6 cm and 9...

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  17. A B C is a triangle in which /A=90o,\ \ A N|B C ,\ \ B C=12 c m and...

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  18. In Fig. 4.178, D E B C (FIGURE) If D E=4c m , B C=6c m and Area ( ...

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  19. In A B C ,\ D and E are the mid-points of A B and A C respectively...

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  20. In Fig. 4.179, A B C and D B C are on the same base B C . If A...

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