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In A B C , ray A D bisects /A and int...

In ` A B C` , ray `A D` bisects `/_A` and intersects `B C` in `D` . If `B C=a` , `A C=b` and `A B=c` , prove that `B D=(a c)/(b+c)` (ii) D C = `(a b)/(b+c)`

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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. The diagonals of quadrilateral A B C D intersect at O . Prove ...

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  2. In Figure, each of P A ,\ Q B ,\ R C and S D is perpendicular to l ....

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  3. In A B C , ray A D bisects /A and intersects B C in D . If B C=a , ...

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  4. In each of the figures given below, an altitude is drawn to the hypo...

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  5. There is a staircase as shown in Figure, connecting points A and B ....

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  6. In A B C ,\ \ /A=60o . Prove that B C^2=A B^2+A C^2-A B.A C .

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  7. In A B C , /C is an obtuse angle. A D|B C and A B^2=A C^2+3\ B C^2...

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  8. A point D is on the side B C of an equilateral triangle A B C su...

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  9. In A B C , if B D|A C and B C^2=2\ A C C D , then prove that A B=...

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  10. In a quadrilateral A B C D , given that /A+/D=90o . Prove tha...

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  11. In /\ A B C , given that A B=A C and B D|A C . Prove that B C^2=2\...

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  12. A B C D is a rectangle. Points M and N are on B D such that A M|B D...

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  13. In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C...

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  14. In an equilateral triangle, prove that three times the square of one s...

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  15. In a A B C , /A B C=135o . Prove that A C^2=A B^2+B C^2+4\ a r( A ...

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  16. In a quadrilateral A B C D ,\ \ /B=90o . If A D^2=A B^2+B C^2+C D^2...

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  17. In a triangle A B C , N is a point on A C such that B N|A C . If...

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  18. Nazinia is fly fishing in a stream. The tip of her fishing rod is 1...

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  19. State basic proportionality theorem and its converse.

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  20. In the adjoining figure, find A C . (FIGURE)

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