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NAME____________________________________DATE__________________PER._______

45°-45°-90° TRIANGLES

The length of one side of (ABC below is given. Use the relationship between the sides of a 45°-45°-90° triangle to find the lengths of the other two sides.

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|1. AC = ____________ |AB = 7 |

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|CB = ____________ | |

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|2. AB = ____________ |AC = 8 |

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|CB = ____________ | |

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|3. AC = ____________ |CB = 4 |

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|AB = ____________ | |

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|4. AB = ____________ |AC = 4 |

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|CB = ____________ | |

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|5. AC = ____________ |AB = 2.3 |

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|CB = ____________ | |

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|6. AC = ____________ |CB = 3.8 |

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|AB = ____________ | |

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|7. AB = ____________ |AC = 5.8 |

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|CB = ____________ | |

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|8. AB = ____________ |AC = 14 |

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|CB = ____________ | |

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|9. AB = ____________ |AC = 6[pic] |

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|CB = ____________ | |

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|10. AC = ____________ |AB = 15 |

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|CB = ____________ | |

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|11. AC = ____________ |CB = 2 |

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|AB = ____________ | |

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|12. AB = ____________ |AC = 3.7 |

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|CB = ____________ | |

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|13. AC = ____________ |AB = 3[pic] |

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|CB = ____________ | |

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|14. AC = ____________ |AB = 4.2 |

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|CB = ____________ | |

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15. A triangle has sides that are 5, 9 and x,

where x is an integer. What are the

possible values of x?

x < 14

A. 4 < x < 14

B. x > 14

Not Here

16. The length of the hypotenuse of a 45(-45(-90 triangle is [pic] meters. What is the perimeter of the triangle?

A. 36 + [pic]

B. 54 m

C. 54[pic]

Not Here

17. Refer to the figure below.

What is the approximate height of the

tree? Round your answer to the nearest

foot.

A. 51 ft

B. 36 ft

C. 29 ft

D. 26 ft

18. What is the area of the largest square

in the diagram?

A. 5 units2

B. 9 units2

C. 16 units2

D. 25 units2

19. A fence around a square garden has a

perimeter of 48 feet. Find the

approximate length of the diagonal of

this square garden.

A. 12 ft

B. 17 ft

C. 21 ft

D. 24 ft

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A#10-3

A

B

C

45(

A

B

C

45(

A#10-3 Pg. 2

45(

51 ft

A#10-3 Pg. 3

[pic]

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