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Using the phythagorean theorem to find distance on a grid

Using the phythagorean theorem to find distance on a grid-example-1
User Kabir
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1 Answer

4 votes

Answer: 6.71

Step-by-step explanation

Check out the diagram below. I have added red segments to form a right triangle.

  • a = 3 = vertical leg
  • b = 6 = horizontal leg
  • c = unknown hypotenuse = distance from point A to point B

Use the pythagorean theorem to find c.


a^2+b^2 = c^2\\\\c = √(a^2+b^2)\\\\c = √(3^2+6^2)\\\\c = √(9+36)\\\\c = √(45)\\\\c \approx 6.708204\\\\c \approx 6.71\\\\

The hypotenuse is roughly 6.71 units long.

The distance from A to B is approximately 6.71 units.

Using the phythagorean theorem to find distance on a grid-example-1
User Dhiku
by
8.5k points