# Right Triangle Wedge

on . Posted in Solid Geometry

• Right 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 formulas

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

$$\large{ z = 90° - x }$$

Symbol English Metric
$$\large{ x, z }$$ = angle $$\large{ deg }$$ $$\large{ rad }$$
$$\large{ a, b, c }$$ = edge $$\large{ in }$$ $$\large{ mm }$$ ## Hypotenuse of a Right Triangle formula

$$\large{ c = \sqrt{a^2+b^2} }$$
Symbol English Metric
$$\large{ c }$$ = hypotenuse $$\large{ deg }$$ $$\large{ rad }$$
$$\large{ a, b, c }$$ = edge $$\large{ in }$$ $$\large{ mm }$$ ## Surface area of a Right Triangle Wedge formula

$$\large{ A_s = a\;b+l \; \left( a+b+c \right) }$$
Symbol English Metric
$$\large{ A_s }$$ = surface area $$\large{ in^2 }$$ $$\large{ mm^2 }$$
$$\large{ a, b, c }$$ = edge $$\large{ in }$$ $$\large{ mm }$$
$$\large{ l }$$ = length $$\large{ in }$$ $$\large{ mm }$$ ## Volume of a Right Triangle Wedge Formula

$$\large{ V = \frac{l\;a\;b}{2} }$$
Symbol English Metric
$$\large{ V }$$ = volume $$\large{ in^3 }$$ $$\large{ mm^3 }$$
$$\large{ a, b, c }$$ = edge $$\large{ in }$$ $$\large{ mm }$$
$$\large{ l }$$ = length $$\large{ in }$$ $$\large{ mm }$$ 