Two points are located at (−3,5) and (6,1). Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.

Question

asked Mar 9, 2022 105k views

2 Answers

Marat Turaev · Answer 1 · 2022-03-14T06:21:48+0000

The complete equation is

$\sqrt{6 - ( - 3) {}^(2) + (1 - 5) {}^(2) }$

and c = 9.85

The equation for the distance between two points is expressed as;

c = √X-x)² + (Y -y)²

The coordinates of the two points are given

Therefore , the equation is

$c = \sqrt{6 - ( - 3) {}^(2) + (1 - 5) {}^(2) }$

solving this

$c = \sqrt{9 {}^(2) + ( - 4) {}^(2) } \\ = √(81 + 16) \\ = √(97) \\ = 9.85$