Kite (a two-dimensional figure) is a quadrilateral with two pairs of adjacent sides that are congruent.- Acute angle measures less than 90°.
- Congruent is all sides having the same lengths and angles measure the same.
- Diagonal is a line from one vertices to another that is non adjacent.
- Obtuse angle measures more than 90°.
- a = b
- c = d
- ∠B = ∠D
- ∠A ≠ ∠C
- ∠A + ∠B + ∠C + ∠D = 360°
- 2 diagonals
- 4 sides
- 4 vertexs
Angle of a Kite formulas |
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\( x \;=\; arccos \left( \dfrac{ m^2 + a^2 - \left( \dfrac{ d' }{ 2 } \right)^2 }{ 2 \cdot m \cdot a } \right) \) \( y \;=\; \dfrac{ 360° - x - z }{ 2 } \) \( z \;=\; arccos \left( \dfrac{ \left( D' \cdot m \right)^2 + d^2 - \left( \dfrac{ d' }{ 2 } \right)^2 }{ 2 \cdot \left( D' \cdot m \right) \cdot d } \right)\) |
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| Symbol | English | Metric |
| \( x \) = acute angle | \( deg \) | \( rad \) |
| \( y \) = obtuse angle | \( deg \) | \( rad \) |
| \( z \) = acute angle | \( deg \) | \( rad \) |
| \( d' \) = diagonal | \( in \) | \( mm \) |
| \( D' \) = diagonal | \( in \) | \( mm \) |
| \( m \) = diagonal section | \( in \) | \( mm \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
Area of a Kite formulas |
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\( A_{area} \;=\; \dfrac{ d' \cdot D' }{ 2 } \) \( A_{area} \;=\; \dfrac{ 1 }{ 2 } \cdot n \cdot r \) |
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| Symbol | English | Metric |
| \( A_{area} \) = area | \( in^2 \) | \( mm^2 \) |
| \( d' \) = diagonal | \( in \) | \( mm \) |
| \( D' \) = diagonal | \( in \) | \( mm \) |
| \( m, n, r, v \) = diagonal | \( in \) | \( mm \) |
Diagonal of a Kite formulas |
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\( d' \;=\; 2\cdot \dfrac{ A }{ D'} \) \( D' \;=\; 2\cdot \dfrac{ A }{ d'} \) |
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| Symbol | English | Metric |
| \( d' \) = diagonal | \( in \) | \( mm \) |
| \( D' \) = diagonal | \( in \) | \( mm \) |
| \( A_{area} \) = area | \( in^2 \) | \( mm^2 \) |
Edge of a Kite formulas |
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\( a \;=\; \dfrac{ p }{ 2} - c \) \( c \;=\; \dfrac{ p }{ 2} - a \) |
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| Symbol | English | Metric |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
| \( p \) = perimeter | \( in \) | \( mm \) |
Perimeter of a Kite formulas |
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\( p \;=\; 2\cdot \left( a + c \right) \) \( p \;=\; 2 \cdot a + 2 \cdot c \) |
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| Symbol | English | Metric |
| \( p \) = perimeter | \( in \) | \( mm \) |
| \( a, b, c, d \) = edge | \( in \) | \( mm \) |
