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In square ABCD, AB||CD. Diagonals AC and...

In `square ABCD`, AB||CD. Diagonals AC and BD intersect each other at point P. Prove that `A(triangle ABP)`:`A(triangle CPD)`=`(AB)^2:(CD)^2`.

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CHETANA PUBLICATION-SIMILARITY-EXERCISE
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  10. In triangle ABC, PQ is a line segment intersecting AB at point P and A...

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  11. Intriangle ABC,/ABC=90^@.triangle PAB,triangle QAC and triangle RBC ar...

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  12. In triangle ABC, P and Q lie on sides AB and BC such that PQ||AC. BP=6...

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  13. In triangle ABC, points X and Y lie on AB and AC such that XY||BC, the...

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  14. triangle ABC~triangle PQR. A(triangle ABC):A(triangle PQR)=9:16. Find...

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  16. In triangle PQR, PM is a median and Q-M-R. Prove that A(triangle PQM)=...

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  17. In triangle DEF, DX=4, DE=8, FY=6, DF=12 where X and Y lie on DE and D...

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  18. In square ABCD, AB||CD. Diagonals AC and BD intersect each other at po...

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  19. D is a point on side BC of triangle ABC such that, /ADC=/BAC. Show tha...

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  20. Prove:In a triangle the angle bisector divides the side opposite to th...

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