janasia579258 janasia579258
  • 11-06-2021
  • Mathematics
contestada

Point A is located at (−4,2) and point B is located at (0,5).Find AB to the nearest tenth.

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altavistard
altavistard altavistard
  • 11-06-2021

Answer:

The length of line segment AB is 5.

Step-by-step explanation:

Envision a right triangle that has one acute vertex at (-4, 2) and the other at (0, 5).  The horizontal distance from the first to the second vertex is 0 - (-4) = 4, and the vertical distance is 5 - 2 = 3.

Then the length of the hypotenuse, according to the Pythagorean Theorem, is

d = √(4² + 3²) = 5

The length of line segment AB is 5.  Note that this is a 3-4-5 triangle, and so 3² + 4² = 5²

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