Menu Close

A-kite-is-a-quadrilateral-having-two-pairs-of-adjacent-sides-equal-Draw-a-semi-circle-inside-it-touching-all-the-sides-using-Eucledian-tools-Can-we-show-that-the-above-semi-circle-is-of-the-




Question Number 4225 by Rasheed Soomro last updated on 03/Jan/16
^• A kite is a quadrilateral having two  pairs of adjacent sides equal.  Draw a semi-circle inside it touching  all the sides using Eucledian tools.  ^•  Can we show that the  above semi-circle  is of the laregest possible area inside the  kite?
$$\:^{\bullet} \mathrm{A}\:\mathrm{kite}\:\mathrm{is}\:\mathrm{a}\:\mathrm{quadrilateral}\:\mathrm{having}\:\mathrm{two} \\ $$$$\mathrm{pairs}\:\mathrm{of}\:\mathrm{adjacent}\:\mathrm{sides}\:\mathrm{equal}. \\ $$$$\mathrm{Draw}\:\mathrm{a}\:\mathrm{semi}-\mathrm{circle}\:\mathrm{inside}\:\mathrm{it}\:\mathrm{touching} \\ $$$$\mathrm{all}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{using}\:\mathrm{Eucledian}\:\mathrm{tools}. \\ $$$$\:^{\bullet} \:\mathrm{Can}\:\mathrm{we}\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\:\mathrm{above}\:\mathrm{semi}-\mathrm{circle} \\ $$$$\mathrm{is}\:\mathrm{of}\:\mathrm{the}\:\mathrm{laregest}\:\mathrm{possible}\:\mathrm{area}\:\mathrm{inside}\:\mathrm{the} \\ $$$$\mathrm{kite}? \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *