PrerequisitesPrerequisite

Distance between two points

Use The Pythagorean theorem with the horizontal and vertical differences.

  • Use .
  • Square the signed differences, then add and take the square root.
  • A distance is non-negative. Give an exact radical when requested.

Example 1

A coordinate right triangle

Find the distance from to .

Expand the parentheses and collect like terms.Simplify the square root and the numerical terms.

Example 2

Find the distance from to .

Expand the parentheses and collect like terms.Simplify the square root and the numerical terms.

Your turn

Question 1

Find the exact distance .

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Question 2

Find the exact distance .

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Question 3

Find the exact distance .

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Question 4

Find the exact distance .

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Question 5

Find the exact distance .

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