Isosceles Triangle

Written by Jerry Ratzlaff on . Posted in Plane Geometry

  • isosceles triangleAn isosceles triangle is when two sides are equal and two angles are equal.
  • The total of angles equal \(\;x+y+z=180° \).
  • Edges \(\;A = C\;\)
  • Angles \(\;x = y\;\)
  • 3 edges
  • 3 vertexs

Edge formula

\(a = \frac {P} {2} - \frac {b} {2} \)

\(b = P - 2a   \)

\(b = 2 \frac {A} {h} \)

Where:

\(a\) = edge

\(b\) = edge

\(h\) = height

\(P\) = perimeter

\(A\) = area

Height formula

\(h = 2 \frac {A}{b} \)

\(h = \sqrt {   a^2 - \frac {b^2}{4}         } \)

Where:

\(h\) = height

\(a\) = edge

\(b\) = edge

\(A\) = area

Perimeter formula

\(P = 2a + b \)

Where:

\(P\) = perimeter

\(a\) = edge

\(b\) = edge

Area formula

\(A= \frac {hb} {2} \)

Where:

\(A\) = area

\(b\) = edge

\(h\) = height