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°
Area of an Acute Trapezoid formulas |
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\( A_{area} \;=\; h \cdot \left( \dfrac{ c + a }{ 2 }\right) \) \( A_{area} \;=\; m \cdot h \) |
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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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| \( m \;=\; \dfrac{ a + c }{ 2 }\) | ||
| 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 | \( in\) | \( mm \) |
