Acute Trapezoid

on . Posted in Plane Geometry

  • acute trapezoid 1Acute 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

\(  A_{area} =  h \; \left( \; c + a\;/\;2 \; \right)  \) 

\(  A_{area} =  m\; h  \) 

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

\(  m =  a \;+\; c \;/\; 2 \) 
Symbol English Metric
\( m \) = midline \( in\) \( mm \)
\( a, b, c, d \) = edge \( in\) \( mm \)

 

Perimeter of an Acute Trapezoid formula

\(  P =  a + b + c + d  \) 

\(  P =  \sqrt {h^2 + g^2} + \sqrt {h^2 + \left( a - c - g  \right)^2   }  + a + c  \)

Symbol English Metric
\( P \) = perimeter \( in\) \( mm \)
\( a, b, c, d \) = edge \( in\) \( mm \)
\( h \) = height \( in\) \( mm \)

 

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Tags: Quadrilateral