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DeltaABC and DeltaDEF are equilateral tr...

`DeltaABC` and `DeltaDEF` are equilateral triangles, `A(DeltaABC) : A(DeltaDEF)= 1 :2`.
If `AB=4` then what is the length of `DE`?

A

(a) `2sqrt(2)`

B

(b) `4`

C

(c) `8`

D

(d) `4sqrt(2)`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-SIMILARITY -Problem Set - 1
  1. In DeltaABC and DeltaPQR, in a one to one correspondence. (AB)/(QR) ...

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  2. If in DeltaDEF and DeltaPQR, angleD cong angleQ, angleR cong angleE, t...

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  3. In DeltaABC and DeltaDEF, " " angleB = angleE, angleF = angleC and ...

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  4. DeltaABC and DeltaDEF are equilateral triangles, A(DeltaABC) : A(Delta...

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  5. In the adjoining figure, seg XY abs()seg BC, then which of the followi...

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  6. In DeltaABC, B - D - C and BD = 7, BC = 20, then find the ratio. (...

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  7. In DeltaABC, B - D - C and BD = 7, BC = 20, then find the ratio (A(...

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  8. In DeltaABC, B - D - C and BD = 7, BC = 20, then find following rati...

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  9. Ratio of areas of two triangles with equal height is 2:3. If base of s...

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  10. In the adjoining figure, angleABC = angleDCB = 90^@ , AB = 6 , DC = 8...

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  11. In the adjoining figure, PM = 10 cm, A(DeltaPQS) = 100 sq. cm, A(Delt...

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  12. DeltaMNT ~ DeltaQRS. Length of altitude drawn from point T is 5 and le...

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  13. In the figure A-D-C and B-E-C seg DE|| side AB. If AD=5, DC=3, BC=6.4 ...

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  14. In the adjoining figure, seg PA , seg QB, seg RC and seg SD are perpen...

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  15. In DeltaPQR seg PM is a median. Angle bisectors of /PMQ and /PMR inter...

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  16. In the figure bisectors of /B and /C of DeltaABC intersect each othe...

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  17. In square ABCD, seg AD|| seg BC. Diagonal AC and digonal BD intersect ...

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  18. In the adoining figure, XY abs() seg AC. If 2 AX = 3 BX and XY = 9, fi...

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  19. In the adjoining figure, the vertices of square DEFG are on the sides ...

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