Perpendicular diagonals
Symmetry diagonal p + Crossing diagonal q
A = pq/2
Open calculator ↗GEOMETRY, ONE FIGURE AT A TIMEKite.
Kite.
Understand every measure.
A diagonal is the key to this symmetry. Four free tools, clear formulas and a little discovery along the way.
Find your calculator ↗FIGURE 112D / REFERENCE DRAWING
KITENOT TO SCALE
THE CALCULATOR DESK
Start with what you know.
4 calculators available
Adjacent side lengths and crossing diagonal
Side pair a + Side pair b + Crossing diagonal d
p = √(a²−d²/4) + √(b²−d²/4)
Open calculator ↗Area to missing diagonal
Area A + Known diagonal p
q = 2A/p
Open calculator ↗Symmetry diagonal segments and crossing diagonal
Upper segment p + Lower segment q + Crossing diagonal d
a = √(p²+d²/4); b = √(q²+d²/4)
Open calculator ↗MEET THE FIGURE
A kite, explained.
A convex kite has two pairs of adjacent equal sides. We use the symmetric convex form, including a rhombus as a special case. Concave arrowhead or dart shapes are outside these calculators.
Understand the properties ↗LOOK A LITTLE CLOSER
More than a formula.
One pair of opposite angles is equal.
The symmetry diagonal does not usually get bisected. These tools assume a convex kite, not a dart.
Explore three geometry facts ↗These tools use ideal Euclidean geometry. Every input must use the same unit. Numerical results are rounded and do not replace measurement, specialist design or safety checks. See worked examples.