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In Fig. 4.145, if A B|B C , D C|B C an...

In Fig. 4.145, if `A B_|_B C` , `D C_|_B C` and `D E_|_A C` , prove that ` C E D ∼ A B C` . (FIGURE)

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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In A B C , A L and C M are the perpendiculars from the vertices A a...

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  2. In Fig. 4.144, we have A B∥ CD∥ EF . If A B=6c m , C D=x\ c m , E F...

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  3. In Fig. 4.145, if A B|B C , D C|B C and D E|A C , prove that C E ...

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  4. In an isosceles triangle A B C, where CA = CB the base A B is produce...

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  5. Diagonals A C and B D of a trapezium A BC D with A B, D C intersect ...

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  6. If A B C and A M P are two right triangles, right angled at B and ...

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  7. A vertical stick of length 6m casts a shadow 4m long on the ground a...

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  8. In Fig. A B C is right angled at C and D E|A B . Prove that A...

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  9. If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ...

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  10. In two similar triangles A B C and P Q R , if their corresponding ...

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

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

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

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

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

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

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

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

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