Draw a rectangle whose one side measures 8 cm

Question:

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

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 $\angle \mathrm{ABX}=90^{\circ}$, which intersects the arc at $\mathrm{C}$.

(iv) Draw $\angle B A Y=90^{\circ}$.

(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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