Asked by Ben
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?
Answers
Answered by
Scott
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)
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)
Answered by
Steve
since when does the shorter diagonal bisect the longer?
Answered by
Scott
Steve ... since the problem says so
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