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D,E,F are the mid points of the sides BC...

D,E,F are the mid points of the sides BC, CA and AB respectively of a `triangle ABC`. Determine the ratio of the areas of `triangle DEF` and `triangle ABC`.

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BEYOND PUBLICATION-SIMILAR TRIANGLES-EXERCISE
  1. Prove that if the area of two similar triangles are equal, then they a...

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  2. In the trapezium ABCD,AB||CD and AB = 2CD. If the area of triangle AOB...

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  3. D,E,F are the mid points of the sides BC, CA and AB respectively of a ...

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  4. If two triangles are equiangular, prove that the ratio of the correspo...

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  5. If two traingles are equilatangular prove that the ratio of the corres...

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  6. In the adjacent figure, triangle ABC and triangle DBC are on the same ...

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

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  8. In the following a, b and c denote the lenghts of the sides of a trian...

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  9. In the following a, b and c denote the lenghts of the sides of a trian...

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  10. In the following a, b and c denote the lenghts of the sides of a trian...

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  11. In the following a, b and c denote the lenghts of the sides of a trian...

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  12. Two poles of heights 23m and 30m stand on the plane ground. If the dis...

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  13. Prove that three times the square of any side of an equilateral Triang...

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  14. A man goes 40m due East and then 96m due North. Find the distance from...

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  15. A ladder 26m, long reaches a window of a house 24m above the ground. D...

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  16. In a quadrilateral ABCD, angleB = 90^0, AD^2= AB^2 + BC^2 + CD^2. P...

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  17. In the adjacent figure, ABC is a triangle in which angle ABC < angle 9...

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  18. In triangle ABC, angle C = angle 90, D is the mid point of BC, Prove...

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  19. Determine whether the triangle having sides (a - 1)cm, 2 sqrt a cmand ...

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  20. In an equilateral triangle ABC, ADbotBC meeting BC in D then AD^2=…………...

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