length property of a kite

Question

180 degrees 

Answer 1

There are other properties as well, besides the three given by Christina.

For example, all convex (all interior angles are less than 180°) kites are tangential (i.e. they have an incircle).

Some additional formulas for a kite's area can be given as well. Let a and b be the lengths of two adjacent but unequal sides (a≠b), let θ be the angle between them, and let r be the kite's inradius.

Then we have A = (a+b)r   (convex kites)

                           = ab sin θ    (all kites).

In the case of convex kites, the inradius can be calculated by equating the two formulas for the area. The result is

ab/(a+b)] sin θ

Answer 2

A kite is a quadrilateral where two disjoint pairs (one side can't be used for both pairs) of consecutive sides are congruent.  I will for now list some properties of a kite:

1.  The diagonals are perpendicular.

2.  The "main diagonal" bisects the "minor diagonal"

3.  Area = 1/2 x d₁ x d₂ (i.e. 1/2 x length of minor diagonal x length of major diagonal)

 

Hope this helps