Distance Math Example 3

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Example 3

easy
What is the distance from the origin (0,0)(0,0) to the point (5,12)(5, 12)?

Solution

  1. 1
    Step 1: d=(5−0)2+(12−0)2=25+144d = \sqrt{(5-0)^2 + (12-0)^2} = \sqrt{25 + 144}.
  2. 2
    Step 2: d=169=13d = \sqrt{169} = 13.

Answer

d=13d = 13 units
A 5-12-13 right triangle is one of the classic Pythagorean triples. The distance from the origin is the length of the hypotenuse of the right triangle formed with legs 5 and 12.

About Distance

The length of the shortest path between two points, always a non-negative real number.

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More Distance Examples

Example 1 easy

Find the distance between points [formula] and [formula].

Example 2 medium

Find the distance between [formula] and [formula]. Leave your answer in simplest radical form.

Example 4 hard

Find the distance between points [formula] and [formula] in 3D space.

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