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P and Q are points on the sides AB and AC respectively of a `triangleABC`. If AP= 2cm, PB = 4cm AQ= 3cm and QC= 6cm. Show that BC= 3PQ.

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NAGEEN PRAKASHAN-TRIANGLES -Exercise 6b
  1. In the given figure, if angleADE=angleB show that triangleADE~triangle...

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  2. P and Q are points on the sides AB and AC respectively of a triangleAB...

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  3. In the adjoining figure , (AO)/(OC)= (BO)/(OD) = 1/2 and AB = 4cm find...

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  4. In the figure triangleABC~triangleAED. If AD=5 cm , AE= 6 cm, BC= 12 c...

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  5. in the adjoining figure find angleF.

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  6. A vertical stick 12m long casts a shadow 8m long on the ground. At the...

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  7. In the given figure , if XY||BC, find the length of XY.

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  8. In the given figure if triangleEDC~triangleEBA, angleBEC = 115^(@) and...

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  9. in the given figure angleCAB=90^(@) and AD bot BC. if AC= 75 cm , AB= ...

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  10. the perimeters of two similar triangles are 40 cm and 30 cm respectiv...

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  11. The diagonal BD of a parallelogram ABCD intersects the segment AE at t...

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  12. Prove that the line segments joining the mid-points of the sides of a ...

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  13. In a triangleABC P and Q are points on AB and AC respectively and PQ||...

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  14. In Fig. 4.122, A D and B E are respectively perpendiculars to B ...

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  15. In A B C , if A D|B C and A D^2=B DxxD C , prove that /B A C=90o .

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  16. If one diagonal of a trapezium divides the other diagonal in the ratio...

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  17. One angle of a triangle is equal to one angle of another triangle and ...

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  18. In the adjoining figure two medians AD and BE of a triangleABC meet ea...

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  19. In an isosceles A B C , the base A B is produced both the ways ...

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  20. Two poles of height 'a' metres and 'b' meters are 'p' meters apart. Pr...

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