Acute Trapezoid
- Acute triangle (a two-dimensional figure) has two adjacent acute angles on the longer base edge.
- Acute angle measures less than 90°.
- Obtuse angle measures more than 90°.
- a & c are bases
- b & d are legs
- a ∥ c
- a ≠ c
- b ≠ d
- ∠A, ∠D < 90°
- ∠B, ∠C > 90°
- ∠A + ∠B = 180°
- ∠C + ∠D = 180°
Acute Trapezoid Index
Area of an Acute Trapezoid formulas |
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\( A_{area} = h \; \left( \; c + a\;/\;2 \; \right) \) \( A_{area} = m\; h \) |
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Symbol | English | Metric |
\( A_{area} \) = area | \( in^2\) | \( mm^2\) |
\( a, b, c, d \) = edge | \( in\) | \( mm \) |
\( h \) = height | \( in\) | \( mm \) |
\( m \) = midline | \( in\) | \( mm \) |
Midline of an Acute Trapezoid formula |
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\( m = a \;+\; c \;/\; 2 \) | ||
Symbol | English | Metric |
\( m \) = midline | \( in\) | \( mm \) |
\( a, b, c, d \) = edge | \( in\) | \( mm \) |
Perimeter of an Acute Trapezoid formula |
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\( P = a + b + c + d \) \( P = \sqrt {h^2 + g^2} + \sqrt {h^2 + \left( a - c - g \right)^2 } + a + c \) |
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Symbol | English | Metric |
\( P \) = perimeter | \( in\) | \( mm \) |
\( a, b, c, d \) = edge | \( in\) | \( mm \) |
\( h \) = height | \( in\) | \( mm \) |
Tags: Quadrilateral