Question

construct a square PQRS, given that diagonals PR = 8 cm.​

Answer 1

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Construct a rhombus PQRS whose diagonals PR and QS are 8cm and 6cm respectively.

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Solution

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Steps of construction:

(i) Draw a line segment PR=8cm

(ii) Draw its perpendicular bisector XY intersecting it at O.

(iii) From XY, cut off OQ=OS=6/2=3 cm each.(by drawing 3 cm arc from O along XY line)

(iv) Join PQ,QR,RS and SP

Thus, PQRS is the required rhombus.

solution