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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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.
PerimeterPerimeter
SemiperimeterSemiperimeter
AreaArea
AreaArea
BaseBase
Height
Angle Bisector of side aAngle Bisector of side a
Angle Bisector of side bAngle Bisector of side b
Angle Bisector of side cAngle Bisector of side c
Median of side aMedian of side a
Median of side bMedian of side b
Median of side cMedian of side c
Altitude of side aAltitude of side a
Altitude of side bAltitude of side b
Altitude of side cAltitude of side c
Circumscribed Circle RadiusCircumscribed Circle Radius
Inscribed Circle RadiusInscribed Circle Radius
Law of Cosines
Law of Cosines
length of side alength of side a
angle of Aangle of A

Equilateral Triangle
Equilateral Triangle:
All three sides have equal length
All three angles are equal to 60 degrees
Equilateral Triangle Equations
PerimeterPerimeter
SemiperimeterSemiperimeter
AreaArea
AltitudeAltitude
MedianMedian
Angle BisectorAngle Bisector
Circumscribed Circle RadiusCircumscribed Circle Radius
Inscribed Circle RadiusInscribed Circle Radius

Right Triangle
Right Triangle:
One angle is equal to 90 degrees
Right Triangle Equations
Pythagorean TheoremPythagorean Theorem
PerimeterPerimeter
SemiperimeterSemiperimeter
AreaArea
Altitude of aAltitude of a
Altitude of bAltitude of b
Altitude of cAltitude of c
Angle Bisector of aAngle Bisector of a
Angle Bisector of bAngle Bisector of b
Angle Bisector of cAngle Bisector of c
Median of aMedian of a
Median of bMedian of b
Median of cMedian of c
Inscribed Circle RadiusInscribed Circle Radius
Circumscribed Circle RadiusCircumscribed Circle Radius

Isosceles Triangle
Isosceles Triangle:
Two sides have equal length
Two angles are equal
Isosceles Triangle Equations
PerimeterPerimeter
SemiperimeterSemiperimeter
AreaArea
Altitudes of sides a and cAltitudes of sides a and c
Altitude of side bAltitude of side b
Median of sides a and cMedian of sides a and c
Median of side bMedian of side b
Angle Bisector of sides a and cAngle Bisector of sides a and c
Angle Bisector of side bAngle Bisector of side b
Circumscribed Circle RadiusCircumscribed Circle Radius
Inscribed Circle RadiusInscribed 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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