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Prove that the ratio of the areas of two...

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the bisectors of the corresponding angles of the triangles. [The end-points of the angular bisectors are on the opposite sides of the angles.]

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. Prove that the ratio of the areas of two similar triangles is equal to...

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  2. All circles are . (congruent, similar)

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  3. All squares are -. (Similar, congruent)

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  4. All triangles are similar. (isosceles, equilateral)

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  5. Two polygons of the same number of sides are similar, if(a) their corr...

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  6. Two polygons of the same number of sides are similar, if(b) their corr...

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  7. Give two different examples of pair of(i) similar figures

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  8. Give two different examples of pair of((ii) non-simiIar figures

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  9. State whether foIIowing quadrilaterals are similar or not:

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  10. In fig(i) ,DE||BC.Find EC in (i).

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  11. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  12. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  13. E and F are points on the sides PQ and PR respectively of a trianglePQ...

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  14. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

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  15. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

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  16. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

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  17. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

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  18. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

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  19. Using Theorem 6.2, prove that the line joining the mid-points of any t...

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  20. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

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  21. The diagonals of a quadrilateral ABCD intersect each other at the poin...

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