The diagonals of a kite are 21 and 24 and the shorter diagonal bisects the longer. If the kite has exactly one right angle, what are the side lengths of the kite?

Answer 1

the diagonals of a kite are perpendicular

the angles at the ends of the longer diagonal are congruent

the right angle is at one end of the shorter diagonal, and is bisected by it
... this means there are two isosceles right triangles on the longer side of the shorter diagonal
... so two sides of the kite are 12√2

the other two sides are ... √(12^2 + 9^2)

Answer 2

since when does the shorter diagonal bisect the longer?

Answer 3

Steve ... since the problem says so