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State Pythagoras theorem and its conv...

State Pythagoras theorem and its converse.

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RD SHARMA-TRIANGLES-All Questions
  1. If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(...

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  2. If A B C and D E F are similar triangles such that A B=3c m , B C...

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  3. State Pythagoras theorem and its converse.

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  4. The lengths of the diagonals of a rhombus are 30cm and 40cm. Find t...

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  5. In Fig. 4.236, P Q B C and A P : P B=1:2 . Find (a r e a( A P Q))/...

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  6. In Fig. 4.237, L M=L N=46o . Express x in terms of a ,\ b and c ...

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  7. In Fig. 4.238, S and T are points on the sides P Q and P R respe...

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  8. In Fig. 4.239, A H K is similar to A B C . If A K=10 c m , B C...

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  9. In Fig. 4.240, D E B C in A B C such that B C=8c m , A B=6c m and...

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  10. In Fig. 4.241, D E B C and A D=1/2B D . If B C=4. 5 c m , find D E...

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  11. A vertical stick 20 m long casts a shadow 10m long on the ground. A...

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  12. Sides of two similar triangles are in the ratio 4:9 . Areas of the...

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  13. The areas of two similar triangles are in respectively 9\ c m^2 and...

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  14. The areas of two similar triangles A B C and D E F are 144\ c m^2...

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  15. A B C and B D E are two equilateral triangles such that D is the ...

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  16. Two isosceles triangles have equal angles and their areas are in th...

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  17. If A B C and D E F are similar such that 2\ A B=D E and B C=8c m ...

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  18. If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/...

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  19. A B C is such that A B=3c m , B C=2c m and C A=2. 5 c m . If D...

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  20. X Y is drawn parallel to the base B C of a A B C cutting A B at X ...

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