Homework Explained - Math Practice 101

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Grade 8 HMH Go Math - Answer Keys
Chapter 12:The Pythagorean Theorem; Lesson 3: Distance Between Two Points


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12.3 Independent Practice

  • Question 5 (request help)

    A metal worker traced a triangular piece of sheet metal on a coordinate plane, as shown. The units represent inches. What is the length of the longest side of the metal triangle? Approximate the length to the nearest tenth of an inch using a calculator. Check that your answer is reasonable.

  •    in.
  • Question 6 (request help)

    When a coordinate grid is superimposed on a map of Harrisburg, the high school is located at (17, 21) and the town park is located at (28, 13). If each unit represents 1 mile, how many miles apart are the high school and the town park? Round your answer to the nearest tenth.

  •    miles
  • Question 7 (request help)

    The coordinates of the vertices of a rectangle are given by R(- 3, - 4), E(- 3, 4), C (4, 4), and T (4, - 4). Plot these points on the coordinate plane at the right and connect them to draw the rectangle. Then connect points E and T to form diagonal \(\overline{ET}\).

    a. Use the Pythagorean Theorem to find the exact length of \(\overline{ET}\).

  • Type below:
  • Question 7 (request help)

    b. How can you use the Distance Formula to find the length of \(\overline{ET}\) ? Show that the Distance Formula gives the same answer.

  • Type below:
  • Question 8 (request help)

    Multistep The locations of three ships are represented on a coordinate grid by the following points: P(- 2, 5), Q(- 7, - 5), and R(2, - 3). Which ships are farthest apart?

  • Type below:

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