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D is a point on the side B C of A B ...

`D` is a point on the side `B C` of ` A B C` such that `/_A D C=/_B A C` . Prove that `(C A)/(C D)=(C B)/(C A)` or, `C A^2=C BxxC D` .

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RD SHARMA-TRIANGLES-All Questions
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  2. In Fig. 4.104, if B D|A C and C E|A B , prove that (FIGURE) A E...

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  7. In Fig. 4.112, /B A C=90o and segment A D|B C . Prove that A ...

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  8. In A B C , if A D|B C and A D^2=B DxxD C , prove that /B A C=90o .

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  9. In a A B C ,\ \ B D and C E are the altitudes. Prove that A D B a...

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  11. If E is a point on side AD produced of a parallelogram ABCD and BE in...

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  15. In Fig. 4.125, F E C~= G B D and /1=/2 . Prove that A D E A ...

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  18. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

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  19. In Fig. 4.132, if A D|B C and (B D)/(D A)=(D A)/(D C) , prove th...

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  20. In Fig. 4.133, if A B E~= A C D , prove that A D E A B C . (...

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