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In A B C , A L and C M are the perpen...

In ` A B C` , `A L` and `C M` are the perpendiculars from the vertices `A` and `C` to `B C` and `A B` respectively. If `A L` and `C M` intersect at `O` , prove that: (i) triangle OMA is similar to triangle OLC (ii) `(O A)/(O C)=(O M)/(O L)`

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RD SHARMA ENGLISH-TRIANGLES-All Questions
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  2. D and E are the points on the sides A B and A C respectively of a tria...

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  3. In A B C , A L and C M are the perpendiculars from the vertices A a...

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  4. 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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  5. 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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  6. In an isosceles triangle A B C, where CA = CB the base A B is produce...

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

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

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

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

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  13. 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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  14. In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot ...

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

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

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