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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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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. If ΔA B C ∼ ΔD E F such that area of ΔA B C is 9\ c m^2 and the ...

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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=2...

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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=90^o,\ \ A N|B C ,\ \ B C=12 c m and...

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

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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 Figure, /\ A B C and /\ D B C are on the same base B C . If A D a...

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