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In DeltaPQR, D and E are two such points...

In `DeltaPQR`, `D` and `E` are two such points on the sides `PQ` and `PR` that `DE||QR`. If `(PD)/(QD)=(4)/(13)` and `PR=20.4cm`, then find the length of `PE`.

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`:' DE||QR`, `:.(PD)/(QD)=(PE)/(RE)` or, `(PD)/(QD)=(PE)/(PR-PE)`
or, `(4)/(13)=(PE)/(20.4-PE)` or, `81.6-4PE=13PE`
or, `17 PE=81.6` or, `PE=(81.6)/(17)=4.8`.
Hence `PE=4.8cm`.
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CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.1
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  2. If the shapes and sizes of two or more than two triangles be the same,...

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  3. A straight line parallel to any side of any triangle divides other two...

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  4. PQRS is a trapezium of which PS||QR. Its two diagonals PR and QS inter...

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  5. In DeltaABC a straight line parallel to BC intersects the sides AB and...

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  6. The line segments AB and PQ intersect each other at the point C. AP an...

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  7. In DeltaPQR, /QPR=90^(@) and PDbotQR. If PR=8cm and PQ=6cm, then find ...

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  8. In trapezium PQRS, PQ||SR. If PQ=6cm, SR=9cm and QS=15cm and the point...

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  9. In trapezium PQRS, PQ||SR. If PQ=4 units , SR=6units . If the diagona...

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  10. In DeltaPQR, A and B are two such points on PQ and PR respectively tha...

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  11. In the right-angled triangle ABC, /B=90^(@) and the points D and E are...

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  12. PSis perpendicular on the hypotenuse QR of the right-angled triangle P...

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  13. In DeltaPQR, D and E are two such points on the sides PQ and PR that D...

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  14. In DeltaABC, the bisector of /ABC intersects AC at the point P. Prove ...

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  15. In trapezium ABCD, AB and DC are parallel. A straight line parallel to...

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  16. D is any point on the side BC of the DeltaABC. P and Q are the centroi...

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  17. Prove that the line segment obtianed by joining the midpoints of two t...

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  18. In DeltaABC, the bisector AD of /BAC intersects BC at D. Prove that t...

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  19. Write the following sentences true or false: Square and rhombuses are ...

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  20. AB=6.4cm. It is divided internally and externally at the points P and ...

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