Right Triangle (Pathagorean Theorem) Calculator

side a side b side c
angle A angle B angle C

Inscribed Circle Radius:
Circumscribed Circle Radius:
Angle Bisector of a:
Angle Bisector of b:
Angle Bisector of c:
Altitude of c:
Median of a:
Median of b:
Median of c:

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 c2 = a2 + b2
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 (tc) tc2 = 2 × a2 × b2 / (a + b)2
Median of a ( ma ) ma2 = b2 + 0.25 × a2
Median of b ( mb ) mb2 = a2 + 0.25 × b2
Median of c ( mc ) mc = c / 2
Inscribed Circle Radius a × b / ( a + b + c )
Circumscribed Circle Radius c / 2
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