Draw the perpendicular bisector of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ whose length is $10.3 c m$ .
Take any point $P$ on the bisectors drawn. Examine $P X = P Y$ .

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Solution

$1.$ Draw a straight line of length $X Y = 10.3$ cm
$2.$ Using compass bisect the line $X Y$ by drawing arcs from $X$ and $Y$
$3.$ Name the arcs intersected as $R$ and $S$
$4.$ Join $R S$
Hence the perpendicular bisector is constructed and $P X = P Y = 5.06$ cm

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