Right Triangle Wedge

Written by Jerry Ratzlaff on . Posted in Solid Geometry

  • right triangle wedge 1Right triangle wedge (a three-dimensional figure) has two right triangle ends and three rectangle sides.
  • 3 rectangles
  • 2 right triangles
  • 1 base
  • 9 edges
  • 2 ends
  • 2 sides
  • 6 vertexs

Angle of a Right Triangle Wedge formula

\(\large{ x = arccos \; \left( \frac{b^2+c^2-a^2}{2\;b\;c}  \right)  }\)

\(\large{ z = 90° - x  }\)

Where:

\(\large{ x, z }\) = angle

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

Hypotenuse of a Right Triangle formula

\(\large{ c = \sqrt{a^2+b^2}  }\)

Where:

\(\large{ c }\) = hypotenuse (H)

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

Surface area of a Right Triangle Wedge formula

\(\large{ A_s = a\;b+l \; \left( a+b+c \right)  }\)

Where:

\(\large{ A_s }\) = surface area

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

\(\large{ l }\) = length

Volume of a Right Triangle Wedge formula

\(\large{ V = \frac{l\;a\;b}{2} }\)

Where:

\(\large{ V }\) = volume

\(\large{ l }\) = length

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