Chapter 5.CR, Problem 42CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Tell whether each set of numbers represents the lengths of the sides of an acute triangle, of an obtuse triangle, of a right triangle, or of no triangle:

a) 12, 13, 14 | e) 8, 7, 16 |

b) 11, 5, 18 | f) 8, 7, 6 |

c) 9, 15, 18 | g) 9, 13, 8 |

d) 6, 8, 10 | h) 4, 2, 3 |

To determine

**a)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

Explanation

**Approach:**

If *a, b* and *c* are the sides of the triangle, then

1)

2)

3)

Given, set of numbers is 12, 13 and 14.

Let us take

Here, greatest side is *c*

To determine

**b)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

To determine

**c)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

To determine

**d)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

To determine

**e)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

To determine

**f)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

To determine

**g)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

To determine

**h)**

**To find:**

The set of numbers represents the length of an

Acute triangle |

Obtuse triangle |

Right triangle |

No triangle |

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