Acute Trapezoid

Written by Jerry Ratzlaff 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°

Area of an Acute Trapezoid formula

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

\(\large{  A_{area} =  m\;h   }\)

Where:

\(\large{ A_{area} }\) = area

\(\large{ h }\) = height

\(\large{ m }\) = midline

\(\large{ a, b, c, d }\) = edge

Midline of an Acute Trapezoid formula

\(\large{  m = \frac{a+c}{2}   }\)

Where:

\(\large{ m }\) = midline

\(\large{ a, b, c, d }\) = edge

Perimeter of an Acute Trapezoid formula

\(\large{  P =  a + b + c + d   }\)

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

Where:

\(\large{ P }\) = perimeter

\(\large{ h }\) = height

\(\large{ a, b, c, d }\) = edge