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# Geometry Unit 7

Question | Answer |
---|---|

Pythagorean Theorem | In a right triangle, thesum of the squares of the lengths of the legs is equal to thesquare of the length of the hypotenuse. |

Pythagorean Triple | is a set of nonzero whole numbers a, b,and c that satisfy the equation |

Converse of Pythagorean Theorem | If thesquare of the length of one side of a triangle is equal to the sumof the squares of the lengths of the other two sides, then thetriangle is a right triangle. |

Theorem 7-6 | If the square of the length of the longest side ofa triangle is greater than the sum of the square of the lengthsof the other two sides, the triangle is obtuse. |

Theorem 7-7 | If the square of the length of the longest side ofa triangle is less than the sum of the squares of the lengths ofthe other two sides, the triangle is acute |

45-45-90 Triangle Theorem | In a 45-45-90triangle, both legs are congruent and the length of thehypotenuse is 2 times the length of a leg. |

30-60-90 Triangle Theorem | In a 30-60-90triangle, the length of the hypotenuse is twice the length of theshorter leg. The length of the longer leg is 3 times the lengthof the shorter leg. |

Tangent | length of leg opposite to anglelength of leg adjacent to angle |

Sine | leg opposite to anglehypotenuse |

Cosine | leg adjacent to anglehypotenuse |

Angle of Elevation | lower angle |

Angle of Depression | upper angle |

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BGuice