A right triangle is a triangle in which one angle is a right angle.
The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (side b in the figure). Side a may be identified as the side adjacent to angle B and opposed to (or opposite) angle A, while side b is the side adjacent to angle A and opposed to angle B.
Pythagorean Theorem | c^{2} = a^{2} + b^{2} |
Area | a × b / 2 |
Altitude of c (h) | a × b / c |
Angle Bisector of a | 2 × b × c × Cos(A/2) / (b + c) |
Angle Bisector of b | 2 × a × c × Cos(B/2) / (a + c) |
Angle Bisector of c (t_{c}) | t_{c}^{2} = 2 × a^{2} × b^{2} / (a + b)^{2} |
Median of a ( m_{a} ) | m_{a}^{2} = b^{2} + 0.25 × a^{2} |
Median of b ( m_{b} ) | m_{b}^{2} = a^{2} + 0.25 × b^{2} |
Median of c ( m_{c} ) | m_{c} = c / 2 |
Inscribed Circle Radius | a × b / ( a + b + c ) |
Circumscribed Circle Radius | c / 2 |
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