AMC 8 Daily Practice - Pythagorean Theorem

Complete problem set with solutions and individual problem pages

Problem 1 Easy

Andy and Emily start from the same location. Andy walks 5 meters west, and Emily walks 12 meters south. Then Andy walks 3 meters north, and Emily walks 3 meters east. How far apart are they at this point?

  • A.

    15 m

  • B.

    \sqrt{269}m

  • C.

    17 m

  • D.

    20m

  • E.

    23 m

Answer:C

We draw a diagram.

The distance between them is: \sqrt{(3 + 12)^2 + (5 + 3)^2} = \sqrt{15^2 + 8^2} = \sqrt{225 + 64} = \sqrt{289} = 17 \text{ meters}

Related Problems
Problem 2 AMC 8 Daily Practice - Pythagorean Theorem
Problem 3 AMC 8 Daily Practice - Pythagorean Theorem
Problem 4 AMC 8 Daily Practice - Pythagorean Theorem
Problem 5 AMC 8 Daily Practice - Pythagorean Theorem
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