Talk:Right kite

Two questions

1. The Metric formulas section gives the length p of the diagonal of symmetry and then says and, since the diagonals are perpendicular (so a right kite is an orthodiagonal quadrilateral), the other diagonal BD has the length q=.... I'm sure these formulas are correct, but I don't see that the formula for q follows directly from the formula for p and the fact that they are perpendicular.

2. The section Alternative definition says Sometimes a right kite is defined as a kite with at least one right angle. Am I correct that if there is only one right angle, it must be between two sides of equal length, and if there are exactly two right angles they must be between sides of different lengths? If so, I think this should go in the article (the two-right-angles case in the intro, and the one-right-angle case in the section Alternative definition). Duoduoduo (talk) 15:28, 30 October 2012 (UTC)

Answers

1. The area of an orthodiagonal quadrilateral is $K={\frac {pq}{2}}$, so $q={\frac {2K}{p}}$.

2. You are correct, and I agree, these are important properties. Will you add them? Circlesareround (talk) 18:24, 30 October 2012 (UTC)

Done. Duoduoduo (talk) 20:42, 30 October 2012 (UTC)

Further properties

A right kite is also one where the two side points form a tangent to a circle centred on either of the end points; they sometimes come up in this form in school maths problems. Possibly worth mentioning? I don't know. --Oolong (talk) 20:11, 24 October 2017 (UTC)