Question

AB and CD are two parallel chords of a circle
of radius 13 cm lying on the opposite sides of
the centre. If AB = 10 cm and CD = 24 cm,
find the distance between the two chords.
​

Answer 1

$\bf \color{blue} lets \: assume ,</p><p> \\ \\ \bf</p><p>y =√[3+√[3+√[3+√[3+……..∞]]]]</p><p> \\ \\ \bf</p><p>as \: it \: tends \: to \: infinity \: we \: can \: write,</p><p> \\ \\ \bf</p><p>y=√[3+y]</p><p> \\ \\ \bf</p><p>y²=3+y</p><p> \\ \\ \bf</p><p>y²-y-3=0 \\ \\ \bf \color{red}</p><p>Hence \: on \: solving,</p><p> \\ \\ \bf</p><p>y= 1+√13/2 or 1-√13/2</p><p></p><p>$