Right Trapezoid
Right trapezoid (a two-dimensional figure) is a trapezoid with only one pair of parallel edges and two adjacent right angles.- Acute angle is an angle that measures less than 90°.
- Obtuse angle is an angle that measures more than 90°.
- a & c are bases
- b & d are legs
- a ∥ c
- a ≠ c
- b ≠ d
- ∠A < 90°
- ∠B > 90°
- ∠C = ∠D
- ∠A + ∠B = 180°
- ∠C + ∠D = 180°
Right Trapezoid Index
- Angle of a Right Trapezoid
- Area of a Right Trapezoid
- Diagonal of a Right Trapezoid
- Midline of a Right Trapezoid
- Perimeter of a Right Trapezoid
- Side of a Right Trapezoid
Angle of a Right Trapezoid formulas |
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\(\large{ x = 90° - arccos \; \frac{ d^2 \;+\; b^2 \;-\; \left(a \;-\; c \right)^2 }{ 2\;d\;b } }\) \(\large{ y = 180° - x }\) |
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| Symbol | English | Metric |
| \(\large{ x }\) = acute angles | \(\large{ deg}\) | \(\large{ rad}\) |
| \(\large{ y }\) = obtuce angles | \(\large{ deg}\) | \(\large{ rad}\) |
| \(\large{ a, b, c, d }\) = edge | \(\large{ in}\) | \(\large{ mm }\) |
Area of a Right Trapezoid formula |
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| \(\large{ A_{area} = \frac{1}{2} \; d \; \left( a + c \right) }\) | ||
| Symbol | English | Metric |
| \(\large{ A_{area} }\) = area | \(\large{ in^2}\) | \(\large{ mm^2}\) |
| \(\large{ a, b, c, d }\) = edge | \(\large{ in}\) | \(\large{ mm }\) |
Diagonal of a Right Trapezoid formulas |
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\(\large{ d' = \sqrt{c^2+d^2} }\) \(\large{ D' = \sqrt{a^2+d^2} }\) |
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| Symbol | English | Metric |
| \(\large{ d', D' }\) = diagonal | \(\large{ in}\) | \(\large{ mm }\) |
| \(\large{ a, b, c, d }\) = edge | \(\large{ in}\) | \(\large{ mm }\) |
Midline of a Right Trapezoid formula |
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| \(\large{ m = \frac{a \;+\; c}{2} }\) | ||
| Symbol | English | Metric |
| \(\large{ m }\) = midline | \(\large{ in}\) | \(\large{ mm }\) |
| \(\large{ a, b, c, d }\) = edge | \(\large{ in}\) | \(\large{ mm }\) |
Perimeter of a RIGHT Trapezoid formula |
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| \(\large{ P = a + b + c + d }\) | ||
| Symbol | English | Metric |
| \(\large{ P }\) = perimeter | \(\large{ in}\) | \(\large{ mm }\) |
| \(\large{ a, b, c, d }\) = edge | \(\large{ in}\) | \(\large{ mm }\) |
Side of a Right Trapezoid formulas |
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\(\large{ b = \sqrt{ \left( a-c \right)^2 + d^2 } }\) \(\large{ d = \sqrt{ b^2 - \left( a - c \right)^2 } }\) |
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| Symbol | English | Metric |
| \(\large{ b, d }\) = edge | \(\large{ in}\) | \(\large{ mm }\) |
| \(\large{ a, c }\) = edge | \(\large{ in}\) | \(\large{ mm }\) |
Tags: Quadrilateral