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If a straight line divdes two sides of a...

If a straight line divdes two sides of a triangle proportionally, then the straight line a parallel to third sides, (Converse of Thales theorem). Prove.

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`DE || BC`
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OSWAAL PUBLICATION-TRIANGLES-TOPIC-1 BASIC PROPORTIONALITY THEOREM (LONG ANSWER TYPE QUESTIONS)
  1. In the trapezium ABCD, AB || DC and Delta ARD - Delta BEC. Then Prove ...

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  2. If a straight line divdes two sides of a triangle proportionally, then...

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  3. In a trapezium, prove that the line joining the midpoints of non - par...

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  4. In a trapezium ABCD, AB || CD If OA = 3x - 19 OC = 3 - 5 BO = x ...

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  5. Find the unknown values is each of the following figures. All lengths ...

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  6. In Delta ABC, D and E are points in the sides AB and AC respectively s...

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  7. E and F are points on the sides PQ and PR respectively of Delta PQR....

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  8. In the figure, PC || QK and BC || HK. If AQ = 6 cm, QH = 4 cm, HP = 5 ...

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  9. In the figure, PR || RC and QR || BD. Prove that PQ || CD.

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  10. In Delta ABC, DE || BC and CD || EF. Prove that AD^(2) = AF xx AB

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  11. If the diagonals of a quadrilateral divide each other proportionally, ...

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  12. In the given figure, (SP)/(SQ)= (PT)/(TR) and / PST = /PRQ. Prove that...

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  13. In a Delta ABC, let P and Q be points on AB and AC respectively such t...

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  14. Throught the mid-point M of the sides of a parallelogram ABCD, the li...

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  15. Prove that the two madians of a triangle divide each other in the rati...

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  16. In the given figure / ABD = /BDC and CD = 4AB. Show that BD =5BE.

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