Trapezoid with Inscribed Circle

Posted In: Mathematics

Trapezoid with Inscribed Circle

Bases of Trapezoid: a,b
Lateral sides: c,d
Midline: q
Altitude: h
Diagonal: d1, d2
Angle between diagonals: φ
Radius of inscribed circle: r
Radius of circumscribed circle: R
Perimeter: L
Area: S

  1. $a+b=c+d$
  2. $q={a+b}/2={c+d}/2$
  3. $L=2(a+b)=2(c+d)$
  4. $S={a+b}/2\ h={c+d}/2\ h=qh$
    $S=1/2d_1d_2\ sin\ φ$

Post Tags: Geometry

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