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in Construction of Quadrilaterals by (48.4k points)
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Construct a rectangle PQRS while PQ = 5.5 cm. and diagonal QS = 6.2 cm.

1 Answer

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Best answer

Draw a rough sketch of given measurements :

From rectangle properties each angle of a rectangle is 90° and opposite sides are equal and parallel to each other and diagonals are also equal to each other.

Steps of Construction

(i) First of all draw a line segment PQ = 5.5 cm.

(ii) At points P and Q construct ∠QPX = 90° and ∠PQY = 90° with PQ respectively.

(iii) At point P, draw an arc of radius 6.2 cm. intersecting ray QY at point R. Join PR.

(iv) At point Q, draw an arc of radius 6.2 cm. intersecting ray PX at S. Join QS and SR. Thus, we obtained a rectangle PQRS.

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