# Pythagorean Theorem: Question Preview (ID: 23356)

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The shortest side of a right triangle is 7.2 centimeters long and the longest side is 15.5 centimeters long. What is the length, to the nearest tenth of a centimeter, of the third side? |
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a) 8.3 | b) 11.4 | c) 13.7 | d) 17.1 | |

What is the distance between (0,3) and (3,-1) |
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a) 3 | b) 4 | c) 5 | d) 7 | |

Triangle JKL has vertices J(0, 7), K(0, 1), and L(4, 7). What is the approximate perimeter of the triangle? |
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a) 7.2 | b) 12.4 | c) 17.2 | d) 18.4 | |

Triangle EFG has vertices at E(–3, 0), F(3, 0), and G(3, 8). What is the length of line segment EG? |
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a) 8 | b) 10 | c) 14 | d) 16 | |

A rope 10 feet long is tied to the top of an 8-foot pole. If the rope is pulled tightly, how far from the bottom of the pole should the rope be staked to the ground? |
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a) 2 | b) 6 | c) 9 | d) 13 | |

A rectangular television screen has a diagonal measurement of 52 inches and a width of 32 inches. What is the approximate length of the television screen? |
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a) 22 | b) 41 | c) 42 | d) 61 | |

The side lengths of a square are 16 cm each. What is the approximate length of the diagonal of the square? |
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a) 17 | b) 23 | c) 24 | d) 32 | |

What is the approximate distance between the points (–2, 3) and (2, –1)? |
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a) 3.2 | b) 4.7 | c) 5.7 | d) 6.2 | |

The vertices of a triangle are located at L(4, –3), M(1, –3), and N(1, 0). What is the approximate perimeter of triangle LMN? |
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a) 6.2 | b) 10.2 | c) 20.4 | d) 38.5 | |

What is the length of the hypotenuse in the right triangle with sides 9 and 12? |
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a) 8 | b) 15 | c) 20 | d) 21 | |

Triangle PQR has vertices at P(–2, 1), Q(–2, –4), and R(4, –4). What is the approximate length of line segment PR? |
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a) 8 | b) 7 | c) 6 | d) 5 | |

What is the length of the missing side when a triangle has an hypotenuse of 26 and a leg of 24? |
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a) 10 | b) 15 | c) 25 | d) 17 | |

Triangle ABC has coordinates A(–6, 0), B(–2, 0), and C(–2, –7). What is the approximate perimeter of triangle ABC? |
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a) 8.1 | b) 14.3 | c) 19.1 | d) 76 | |

Which set of measurements could be the side lengths of a right triangle? |
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a) 3 in., 5 in., 7 in. | b) 6 in., 9 in., 12 in. | c) 8 in., 15 in., 17 in. | d) 10 in., 20 in., 30 in. | |

Triangle EFG has vertices at E(–3, 2), F(–3, –12), and G(10, 2). What is the approximate length of segment FG? |
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a) 5.2 | b) 7.1 | c) 12.2 | d) 19.1 | |

A right triangle has an area of 60 cm2. The base of the triangle is 15 cm long. What is the length of the hypotenuse of the right triangle? |
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a) 16 | b) 17 | c) 18 | d) 19 | |

Which set of measurements could be the side lengths of a right triangle? |
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a) 2 ft, 3 ft, 5 ft | b) 3 ft, 6 ft, 9 ft | c) 5 ft, 12 ft, 13 ft | d) 6 ft, 9 ft, 12 ft | |

What is the measure of the missing side of a triangle with an hypotenuse of 20 and a leg of 16? |
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a) 12 | b) 18 | c) 26 | d) 10 | |

A boat starts in Riverton and sails 5 miles North. Then, the boat sails East another 3 miles, forming a right angle. What is the approximate shortest distance back to Riverton? |
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a) 2 miles | b) 4 miles | c) 6 miles | d) 8 miles | |

The length of a football field is 360 feet and the width is 160 feet. What is the approximate length of the diagonal of the football field? |
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a) 260 | b) 322 | c) 394 | d) 416 | |

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