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In Fig. 4.179, A B C and D B C are ...

In Fig. 4.179, ` A B C` and ` D B C` are on the same base `B C` . If `A D` and `B C` intersect at `O` , prove that `(A r e a\ ( A B C))/(A r e a\ ( D B C))=(A O)/(D O)` (FIGURE)

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CBSE COMPLEMENTARY MATERIAL-TRIANGLE-Short Answer Type Questions-II
  1. In equilateral triangleABC, ADbotBC. Prove that 3BC^2= 4AD^2.

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  2. In the given figure angleABC=90^(@) and CD bot AB. Prove that (BC^(2)...

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  3. In Fig. 4.179, A B C and D B C are on the same base B C . If A...

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  4. If AD and PS are medians of triangleABC and trianglePQR respectively w...

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  5. In the given figure, DE || AC. Which of the following is correct? x=(...

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  6. Prove that the sum of the squares of the sides of a rhombus is equa...

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  7. A street light bulb is fixed on a pole 6 m above the level of the stre...

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  8. Two poles of height a metres and b metres are p metres apart. Prove th...

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  9. In the given figure AB || PQ || CD, AB=x, CD=y and PQ=z. Prove that 1/...

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  10. In the given figure (PS)/(SQ)=(PT)/(TR) and anglePST = anglePRQ. Prove...

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  11. In the figure, a point O inside triangleABC is joined to its vertices....

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  12. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

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  13. The Hypotenuse of a right triangle is 25 cm and out of the remaining t...

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  14. In the given figure DE || AC and (BE)/(EC)=(BC)/(CP). Prove that DC |...

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  15. In a quadrilateral ABCD, angleB=90^(@) and AD^(2)= AB^(2) + BC^(2)+CD^...

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  16. In the given figure, DE || BC, DE= 3 cm, BC = 9 cm and ar (DADE) = 30c...

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  17. In an equilateral triangle ABC, D is a point on side BC such that B D=...

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  18. Ii DeltaPQR, PDbotQR such that D lies on QR, if PQ=a,PR=b,QD=c and DR=...

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  19. The ratio of the the areas of two similar triangles is equal to the ra...

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  20. In the given figure, the line segment XY is Parallel to AC of ΔABC and...

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