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In the given figure, DE // BC. Give...

In the given figure, DE // BC.

Given that `AD = 1/2 BD`, calculate DE, if BC = 45 cm.
Also , find `(Ar. (Delta ADE))/(Ar. (DeltaABC)) and (Ar.(DeltaADE))/(Ar.("trapezium BCED"))` 

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The correct Answer is:
`1/9 and 1/8`
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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. In the given figure, DE // BC. Given that AD = 1/2 BD, calculate ...

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  2. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

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  3. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

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  4. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

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  5. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

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  6. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

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  7. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

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  8. In the following figure, AB, CD and EF are perpendicular to the straig...

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  9. Triangle ABC is similar to triangle PQR. If AD and PM are correspondin...

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  10. Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of...

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  11. Triangle ABC is similar to triangle PQR. If bisector of angle BAC meet...

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  12. In the following figure, /AXY = /AYX.. If (BX)/(AX) = (CY)/(AY) , show...

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  13. In the following diagram, lines l, m and n are parallel to each other....

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  14. In the following figure, DE||AC and DC||AP. Prove that : (BE)/(EC) = (...

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  15. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

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  16. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

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  17. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm.   Pro...

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  18. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

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  19. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

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  20. In the given triangle P, Q and R are the mid points of sides AB, BC an...

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  21. In the following figure, AD and CE are medians of DeltaABC. DF is draw...

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