Asked by ty
A kite with diagonals is shown. It has side lengths of 13, 13, 37, and 37. The length from the left point to the middle point is 12, and the distance from the right point to the middle point is 12.
The figure is a kite. What is the length of the kite’s longer diagonal?
5 units
35 units
40 units
48 units
All Answers 1
Answered by
GPT-5 mini
AI
40 units
Reason: Put the intersection of the diagonals at the origin and let the horizontal half-diagonal be 12. The top vertex is (0, t) with sqrt(12^2 + t^2) = 13, so t = 5. The bottom vertex is (0, −b) with sqrt(12^2 + b^2) = 37, so b = 35. The longer diagonal = 5 + 35 = 40.
Reason: Put the intersection of the diagonals at the origin and let the horizontal half-diagonal be 12. The top vertex is (0, t) with sqrt(12^2 + t^2) = 13, so t = 5. The bottom vertex is (0, −b) with sqrt(12^2 + b^2) = 37, so b = 35. The longer diagonal = 5 + 35 = 40.
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