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in Construction of Quadrilaterals by (48.4k points)
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Construct a rectangle EFGH while EF = 4.0 cm. and diagonal EG = 5.0 cm.

1 Answer

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by (49.3k points)
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Best answer

First of all we draw a rough sketch of given measurements :

Steps of Construction

(i) First of all we draw a line segment EF = 4.0 cm.

(ii) At point E and F construct ∠FEX = 90° and ∠EFY = 90° with EF respectively with rules and compass only.

(iii) An arc of 5 cm. from point E cut on FY and marked the point as G.

(iv) Similarly, an arc of 5 cm. is cut on EX and marked this point at H.

(v) Join EG, FG and GH.

Thus, we obtained required rectangle EFGH.

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