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In the following figure AP|BC, AD||BC, t...

In the following figure `AP_|_BC, AD||BC,` then find `A(DeltaABC):A(DeltaBCD)`.

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`DeltaABC` and `DeltaBCD` have same base BC. The vertices of `DeltaABC` and `DeltaBCD` lie on the parallel lines AD and BC. The distance between the two parallel lines is the height of the triangles.
Distance between parallel lines is constant.
`:.DeltaABC` and `DeltaBCD` have equal heights.
Areas of two traingles of equal bases and equal heights are equal.
`:.A(DeltaABC)=A(DeltaBCD)`
`:.(A(DeltaABC))/(A(DeltaBCD))=1/1`
`:.A(DeltaABC):A(DeltaBCD)=1:1`
`A(DletaABC):A(DeltaBCD)=1:1`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-SIMILARITY-EXAMPLE TYPE
  1. In the figure BC|AB, AD|AB,BC=4,AD=8, then find (A(DeltaABC))/(A(Delta...

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  2. In the following figure set PS| seg RQ,set QT| set PR. If RQ=6,PS=6 an...

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  3. In the following figure AP|BC, AD||BC, then find A(DeltaABC):A(DeltaBC...

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  4. In the adjoining figure PQ|BC, AD|BC, then find following ratios: ...

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  5. Given below are some triangles and lengths of line segments. Identify ...

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  6. In DeltaPQR, PM=15, PQ=25, PR=20, NR=8. State whether line NM is paral...

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  7. In DeltaMNP, NQ is a bisector of /N. If MN=5, PN=7, MQ=2.5, the find Q...

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  8. Measures of some angles in the figures are given. Prove that (AP)/(PB)...

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  9. In trapezium ABCD side AB|| side PQ|| side DC, AP=15, PD=12, QC=14, fi...

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  10. Find QP using given information in the figure.

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  11. In the figure if AB||CD||FE then find x and AE.

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  12. In DeltaLMN, ray MT bisects /LMN. If LM=6, MN=10. TN=8 then find LT.

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  13. In DeltaABC set BD bisects /ABC. If AB-x, BC=x+5, AD=x-2, DC=x+2, then...

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  14. In the figure X is any point in the interior of triangle. Point X is j...

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  15. In DeltaABC,ray BD bisects angleABC and ray CE bisects angleACB. If se...

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  16. In the adjoining figure BP|AC, CQ|AB, A-P-C,A-Q-B, then prove that Del...

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  17. In the figure /ABC=75^(@) /EDC=75^(@) State which two triangles are...

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  18. Are the triangles in following figures similar? If yes by which test...

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  19. As shown in the figures, two poles of height 8m and 4m are perpendicul...

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  20. In DeltaABC, AP |BC, BQ|AC. B-P-C,A-Q-C, then prove that DeltaCPA~De...

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