Triangle Equations Formulas Calculator

Mathematics - Geometry


Scalene Triangle
Scalene Triangle
Solving for median of c:
median of c

Inputs:

length of side a (a)
length of side b (b)
length of side c (c)


Conversions:

length of side a (a)
= 0
= 0
length of side b (b)
= 0
= 0
length of side c (c)
= 0
= 0

Solution:

median of c (m)
= NOT CALCULATED

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Select an equation to solve for a different unknown

Scalene Triangle

Scalene Triangle:
No sides have equal length
No angles are equal

Scalene Triangle Equations
These equations apply to any type of triangle. Reduced
equations for equilateral, right and isosceles are below.
Perimeter Perimeter
Semiperimeter Semiperimeter
Area Area
Area Area
Base Base
Height
Angle Bisector of side a Angle Bisector of side a
Angle Bisector of side b Angle Bisector of side b
Angle Bisector of side c Angle Bisector of side c
Median of side a Median of side a
Median of side b Median of side b
Median of side c Median of side c
Altitude of side a Altitude of side a
Altitude of side b Altitude of side b
Altitude of side c Altitude of side c
Circumscribed Circle Radius Circumscribed Circle Radius
Inscribed Circle Radius Inscribed Circle Radius

Law of Cosines
Law of Cosines
length of side a length of side a
angle of A angle of A

Equilateral Triangle

Equilateral Triangle:
All three sides have equal length
All three angles are equal to 60 degrees

Equilateral Triangle Equations
Perimeter Perimeter
Semiperimeter Semiperimeter
Area Area
Altitude Altitude
Median Median
Angle Bisector Angle Bisector
Circumscribed Circle Radius Circumscribed Circle Radius
Inscribed Circle Radius Inscribed Circle Radius

Right Triangle

Right Triangle:
One angle is equal to 90 degrees

Right Triangle Equations
Pythagorean Theorem Pythagorean Theorem
Perimeter Perimeter
Semiperimeter Semiperimeter
Area Area
Altitude of a Altitude of a
Altitude of b Altitude of b
Altitude of c Altitude of c
Angle Bisector of a Angle Bisector of a
Angle Bisector of b Angle Bisector of b
Angle Bisector of c Angle Bisector of c
Median of a Median of a
Median of b Median of b
Median of c Median of c
Inscribed Circle Radius Inscribed Circle Radius
Circumscribed Circle Radius Circumscribed Circle Radius

Isosceles Triangle

Isosceles Triangle:
Two sides have equal length
Two angles are equal

Isosceles Triangle Equations
Perimeter Perimeter
Semiperimeter Semiperimeter
Area Area
Altitudes of sides a and c Altitudes of sides a and c
Altitude of side b Altitude of side b
Median of sides a and c Median of sides a and c
Median of side b Median of side b
Angle Bisector of sides a and c Angle Bisector of sides a and c
Angle Bisector of side b Angle Bisector of side b
Circumscribed Circle Radius Circumscribed Circle Radius
Inscribed Circle Radius Inscribed Circle Radius

Where
P=Perimeter
s=Semiperimeter
a=Length of side a
b=Length of side b
c=Length of side c
h=Altitude
m=Median
A=Angle A
B=Angle B
C=Angle C
t=Angle bisector
R=Circumscribed Circle Radius
r=Inscribed Circle Radius

Reference - Books: 1) Max A. Sobel and Norbert Lerner. 1991. Precalculus Mathematics. Prentice Hall. 4th ed.


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