Lesson: Geometry Challenging - 24t01

Finding The Di stance Between Points

[Page 24 of 32]

Task: Try the in-format question below. Use your scratch paper to sketch your graph, and than use your knowledge of distances and triangles to help you find an answer. Select an answer, and then click Continue .

What is the distance between points (1, 4) and (5, –9) on the coordinate plane?

13
14
15

Draw a right triangle, with the distance between the designated points as the hypotenuse.

The legs have lengths of 5 – 1 = 4 and 4 + 9 = 13. We can plug these numbers into the Pythagorean theorem to find:

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