Solving for length of side a.

length of side b (b) = 0 = 0 |

length of side c (c) = 0 = 0 |

angle A (A) = 0 = 0 radian |

length of side a (a) = NOT CALCULATED |

Select to solve for a different unknown

Scalene Triangle:

No sides have equal length

No angles are equal

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.

These equations apply to any type of triangle. Reduced

equations for equilateral, right and isosceles are below.

Law of Cosines

length of side a | |

angle of A |

Equilateral Triangle:

All three sides have equal length

All three angles are equal to 60 degrees

All three sides have equal length

All three angles are equal to 60 degrees

Equilateral Triangle Equations

Perimeter | |

Semiperimeter | |

Area | |

Altitude | |

Median | |

Angle Bisector | |

Circumscribed Circle Radius | |

Inscribed Circle Radius |

Right Triangle:

One angle is equal to 90 degrees

One angle is equal to 90 degrees

Right Triangle Equations

Isosceles Triangle:

Two sides have equal length

Two angles are equal

Two sides have equal length

Two angles are equal

Isosceles Triangle Equations

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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