Kite with diagonals 6 and 12 for area

An example figure from the Kite Generator.

A kite ABCD standing upright, its diagonals drawn and labeled 6 and 12, crossing at a right angle, with its equal sides marked — A kite ABCD standing upright on its line of symmetry, its short sides marked with one tick and its long sides with two. Both diagonals are drawn: AC across is labeled 6 and BD down the middle 12, with a right-angle square where they cross and another at the top corner B. No side lengths are shown, so students find the area from the diagonals.

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Answer key

Sides: AB = 3√2, BC = 3√2, CD = 3√10, DA = 3√10
Angles: ∠A = 116.6°, ∠B = 90°, ∠C = 116.6°, ∠D = 36.9°
Diagonals: AC = 6, BD = 12
Perimeter: 27.5
Area: 36

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