kinzey6879 kinzey6879
  • 24-06-2020
  • Mathematics
contestada

what is the length of this line? khan academy - Distance between two points

Respuesta :

adamu4mohammed adamu4mohammed
  • 26-06-2020

Answer:

D = √[(x2 - x1)² + (y2 - y1)²]

Step-by-step explanation:

Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).

Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.

That is,

D² = (x2 - x1)² + (y2 - y1)²

Now, taking square roots of both side, we have the formula for the distance or length D.

D = √[(x2 - x1)² + (y2 - y1)²]

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