A circle cuts out equal chords on all sides of the quadrilateral. Prove that it is possible to inscribe a circle in that quadrilateral.
1
Expert's answer
2010-06-03T10:36:19-0400
Let O be the center of given circle, R – its radius, a – length of the chords cut out by the circle on quadrilateral’s sides. Then the distances from O to the sides of the quadrilateral are (R2-a2)/4, i.e. it’s equidistant from quadrilateral’s sides and thus is a center of inscribed circle.
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments
Leave a comment