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If A B C is an isosceles triangle and ...

If `A B C` is an isosceles triangle and `D` is a point on `B C` such that `A D_|_B C` then,

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A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CXC D . Prove that B D=B C .

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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In a A B C , A D is the bisector of /B A C . If A B=8c m , B D=6c ...

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  2. A B C D is a trapezium such that B C || A D and A D=4c m . If the ...

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  3. If A B C is an isosceles triangle and D is a point on B C such tha...

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  4. A B C is a right triangle right-angled at A and A D|B C . Then, (B D...

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  5. If E is a point on side C A of an equilateral triangle A B C suc...

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  6. If in A B C and D E F , (A B)/(D E)=(B C)/(F D) , then A B C ~ D E...

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  7. If in two triangles A B C and D E F , (A B)/(D E)=(B C)/(F E)=(C A)...

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  8. A B C D E F , a r( A B C)=9c m^2 , a r( D E F)=16 c m^2 . If B C=2. ...

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  9. The length of the hypotenuse of an isosceles right triangle whose o...

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  10. A man goes 24m due west and then 7m due north. How far is he from t...

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  11. If Delta A B C ~ Delta D E F such that B C=3c m , E F=4c m and a r( ...

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  12. If Delta A B C ~ Delta P Q R such that a r( A B C)=4a r( P Q R)dot I...

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  13. The areas of two similar triangles are 121\ c m^2 and 64\ c m^2 res...

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  14. If A B C D E F such that D E=3c m , E F=2c m , D F=2. 5 c m , B C=4...

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  15. In an equilateral triangle A B C if A D|B C , then

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  16. If A B C D E F such that A B=9. 1 c m and D E=6. 5 c m . If the ...

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  17. In an isosceles triangle A B C if A C=B C and A B^2=2A C^2 , then /...

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  18. A B C is an isosceles triangle in which /C=90o . If A C=6c m , then...

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  19. If in two triangles A B C and D E F , /A=/E ,\ \ /B=/F , then wh...

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  20. In an isosceles triangle A B C , if A B=A C=25 c m and B C=14 c m ,...

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