a = √20

a = √400 - 256

a = √144

a =

sin(A) = | OPPOSITE |

HYPOTENUSE |

sin(A) = | a |

c |

sin(A) = | 12 |

20 |

Sin(A) = 0.6

Angle A =

sin(B) = | OPPOSITE |

HYPOTENUSE |

sin(B) = | b |

c |

sin(B) = | 16 |

20 |

Sin(B) = 0.8

Angle B =

inradius = | ab |

a + b + c |

inradius = | (12)(16) |

12 + 16 + 20 |

inradius = | 192 |

48 |

inradius =

Angle A = 36.8699

Angle B = 53.1301

Side A = 12

Side B = 16

Side C = 20

Angle B = 53.1301

Side A = 12

Side B = 16

Side C = 20

Angle A = 36.8699

Angle B = 53.1301

Side A = 12

Side B = 16

Side C = 20

Angle B = 53.1301

Side A = 12

Side B = 16

Side C = 20

Free Right Triangles Calculator - This solves for all the pieces of a right triangle based on given inputs using items like the sin ratio, cosine ratio, tangent ratio, and the Pythagorean Theorem as well as the inradius.

This calculator has 5 inputs.

This calculator has 5 inputs.

- cos
- cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
- inradius
- a radius of an inscribed circle or sphere
- pythagorean theorem
- a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides

a^{2}+ b^{2}= c^{2} - ratio
- indicates how many times one number contains another
- right triangles
- sin
- sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
- tangent
- the straight line that just touches the curve at that point
- triangle
- a flat geometric figure that has three sides and three angles

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