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One angle of a triangle is equal to one angle of another triangle and the bisectors of these two equal angles divide the opposite sides in the same ratio, prove that the triangles are similar.

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NAGEEN PRAKASHAN-TRIANGLES -Exercise 6b
  1. A vertical stick 12m long casts a shadow 8m long on the ground. At the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. E si a point on side AD produced of a parallelogram ABCD and BE inters...

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  17. In a right angled with sides a and b and hypotenuse c, the altitude dr...

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  18. in the given figure, if triangleABE cong triangleACD prove that triang...

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  19. A man wishes to determine the height of a tall building . In the middl...

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  20. In trianglePQR, angleP=72^(@), M is the mid point of side QR, and L an...

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