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ABC is a triangle. D and E are two points on AB and AC respectively such that DE is parallel to BC and `AD=1 cm`, `BD= 2cm`. What is the ratio of the area of `/_\ABC` to the area `/_\ADE`.

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The correct Answer is:
`25/81`
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KALYANI PUBLICATION-AREA OF SIMILAR TRIANGLES-EXERCISE
  1. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 121 cm^2. If ...

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  2. ABC is a triangle. D and E are two points on AB and AC respectively su...

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  3. /\ABC~/\DEF and their areas are respectively 64 cm^2 and 169 cm^2. If ...

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  4. If triangle ABCis similar to triangleDEF such that BC = 4 cm, EF = 5 c...

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  5. The areas of two similar triangles ABC and PQR are in the ratio 9:16. ...

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  6. ABC is a triangle. D and E are two points on AB and AC respectively su...

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  7. A line DE is parallel to the base BC of /\ABC which meets side AB and ...

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  8. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

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  9. A line LM is drawn parallel to the base BC of /\ ABC which meets side ...

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  10. ABC is a triangle of area 256 cm^2. XY is drawn parallel to BC meeting...

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  11. Prove that the areas of two similar triangles are in the ratio of the ...

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  12. Prove that the areas of two similar triangles are in the ratio of the ...

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  13. Prove that the areas of two similar triangles are in the ratio of the ...

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  14. If the areas of a similar triangle are equal,prove that they are congr...

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  15. The areas of two similar triangles are 81 cm^2 and 49 cm^2 respectivel...

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  16. The areas of two similar triangles are 121 cm^2 and 64 cm^2 respective...

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  17. If /\ABC~/\DEF in which AX and DY are the bisector of /A and /D respe...

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  18. Prove that area of the equilateral triangle described on the side of ...

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  19. ABCD is a trapezium in which AB||DC and AB= 2DC. Determine the ratio o...

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  20. In a trapezium ABCD, O is the point of intersection of AC and BD, AB||...

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