Find the square root of \(9.5\) geometrically:
Steps involved to find the squre root of \(9.5\) geometrically:
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Answer variants:
Draw a semicircle with centre \(O\) and radius \(OC =10.5/2 = 5.24\) units.
From point \(B\), mark a distance of \(1\) unit and label the point as \(C\). That is \(BC =1\) unit.
Now measure the length of \(BD = 3.082\).
Now find the midpoint of \(AC = 9.5+1 = 10.5\) units and mark the midpoint as \(O\).
Draw a line perpendicular to \(AC\) which passes through point \(B\) and intersect the semicircle at \(D\) such that \(∠OBD = 90°\).
As the given positive number is \(9.5\), we have to mark \(B\) so that \(AB = 9.5\) units.