Answer :

The steps of the required construction are:

1) Draw a line segment AB. Keeping A as the center and any radius draw a semicircle, intersecting AB at point C.

2) Keeping C as the center and radius AC, draw an arc, cutting the semicircle at point D. Keeping D as the center and radius AC, draw an arc, cutting the semicircle at point E.

3) Taking D as the center draw an arc of any radius greater than . Now, Taking E as the center and the keeping the same radius, draw another arc, intersecting the previous arc at F. Join AF.

4) ∠BAF=90°.

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