- Equilateral triangle (a two-dimensional figure) has three sides that are the same length and all sides and angles are congruent.
- Equilateral triangle (a two-dimensional figure) has three sides that are the same length and all sides and angles are congruent.
- A equilateral triangle is a polygon.
- Angle bisector of a equilateral triangle is a line that splits an angle into two equal angles.
- Circumcircle is a circle that passes through all the vertices of a two-dimensional figure.
- Height of a equilateral triangle is the length of the two sides and the perpendicular height of the 90 degree angle.
- Inscribed circle is the largest circle possible that can fit on the inside of a two-dimensional figure.
- Median of a equilateral triangle is a line segment from a vertex (coiner point) to the midpoint of the opposite side.
- Semiperimeter is one half of the perimeter.
- x + y + z = 180°
- 3 edges
- 3 vertexs
- Sides: a, b, c
- Angles: ∠A, ∠B, ∠C
- Height: \(h_a\), \(h_b\), \(h_c\)
- Median: \(m_a\), \(m_b\), \(m_c\) - A line segment from a vertex (corner point) to the midpoint of the opposite side
- Angle bisectors: \(t_a\), \(t_b\), \(t_c\) - A line that splits an angle into two equal angles
angle bisector of an Equilateral triangle formula |
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| \( t_a,\; t_b, \;t_c \;=\; a \cdot \sqrt{ \dfrac{ 3 }{ 2 } } \) | ||
| Symbol | English | Metric |
| \( t_a, t_b, t_c \) = angle bisector | \( in \) | \( mm \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
area of an Equilateral triangle formula |
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| \( A_{area} \;=\; \dfrac{ \sqrt{3} }{4}\cdot a^2 \) | ||
| Symbol | English | Metric |
| \( A_{area} \) = area | \( in^2 \) | \( mm^2 \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
circumcircle of an Equilateral triangle formulas |
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\( R \;=\; \dfrac{ a }{ \sqrt {3 } } \) \( R \;=\; \dfrac{ 2 \cdot h }{ 3 } \) |
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| Symbol | English | Metric |
| \( R \) = outcircle | \( in \) | \( mm \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
| \( h \) = height | \( in \) | \( mm \) |
height of an Equilateral triangle formula |
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| \( h_a, \;h_b, \;h_c \;=\; a \cdot \sqrt { \dfrac{ 3 }{ 2 } } \) | ||
| Symbol | English | Metric |
| \( h_a, h_b, h_c \) = height | \( in \) | \( mm \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
inscribed circle of an Equilateral triangle formula |
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| \( r \;=\; \dfrac{ a }{ 2 \cdot \sqrt{ 3 } } \) | ||
| Symbol | English | Metric |
| \( r \) = incircle | \( in \) | \( mm \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
median of an Equilateral triangle formula |
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| \( m_a, \;m_b, \;m_c \;=\; a \cdot \sqrt { \dfrac{ 3 }{ 2 } } \) | ||
| Symbol | English | Metric |
| \( m_a, m_b, m_c \) = median | \( in \) | \( mm \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
perimeter of an Equilateral triangle formula |
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| \( P \;=\; 3 \cdot a \) | ||
| Symbol | English | Metric |
| \( P \) = perimeter | \( in \) | \( mm \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
semiperimeter of an Equilateral triangle formula |
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| \( s \;=\; \dfrac{ a + b + c }{ 2 } \) | ||
| Symbol | English | Metric |
| \( s \) = semiperimeter | \( in \) | \( mm \) |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
side of an Equilateral triangle formulas |
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\( a \;=\; \dfrac {P}{3} \) \( a \;=\; \dfrac{2}{3} \cdot 3^{3/4} \cdot \sqrt{A_{area}} \) |
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| Symbol | English | Metric |
| \( a, b, c \) = edge | \( in \) | \( mm \) |
| \( A_{area} \) = area | \( in^2 \) | \( mm^2 \) |
| \( P \) = perimeter | \( in \) | \( mm \) |
