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Question

Draw a rectangle whose one side measures 8 cm and the length of each of whose diagonals is 10 cm.

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Solution

(i) Draw a side AB, equal to 8 cm.
(ii) With A as the centre, draw an arc of length 10 cm.
(iii) Draw ABX = 90°, which intersects the arc at C.
(iv)Draw BAY = 90°.
(v) With C as the centre, draw an arc of length 8 cm.
(vi) Join CD.
Thus, ABCD is the required rectangle.

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