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Applying the Pythagorean Theorem to Find the Distance Between Points B and C

Quizzma Team
Applying the Pythagorean Theorem to Find the Distance Between Points B and C

Apply the Pythagorean Theorem to find the distance between points B and C.

A √18 units
B √55 units
C √64 units
D √73 units




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    1. Quizzma Team

      To find the distance between points B and C using the Pythagorean Theorem, you need to know the coordinates of points B and C. Assuming you have those coordinates (let’s say B(x1, y1) and C(x2, y2)), the distance d can be calculated using the formula:

      [ d = sqrt{(x2 – x1)^2 + (y2 – y1)^2} ]

      Now, you can plug in the coordinates of B and C to find the distance. Here’s a breakdown of how it works step by step:

      1. Calculate the difference in x-coordinates: ( (x2 – x1) )
      2. Calculate the difference in y-coordinates: ( (y2 – y1) )
      3. Square the differences: ( (x2 – x1)^2 ) and ( (y2 – y1)^2 )
      4. Add the squares together: ( (x2 – x1)^2 + (y2 – y1)^2 )
      5. Take the square root: ( sqrt{(x2 – x1)^2 + (y2 – y1)^2} )

      If you provide the specific coordinates, I can help you find the exact distance! Based on your multiple-choice options, you would calculate this to see which option matches.

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