Expert Answer to "Distance between (7,35,6) and (-3,5,1)?"

waldo7852p

Answered question

2022-09-26

Distance between (7,35,6) and (-3,5,1)?

Cassie Moody

Beginner2022-09-27Added 10 answers

The distance between two points is simply the square root of the sum of the squares of the differences between the coordinates, or, in equation form:

d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} + {(z_{2} - z_{1})}^{2}}

where our two points are:

(x_{1}, y_{1}, z_{1})

and

(x_{2}, y_{2}, z_{2})

It doesn't matter which point you choose for either. Substituting the points we were given into this equation we get:

d = \sqrt{{(7 - (- 3))}^{2} + {(35 - 5)}^{2} + {(6 - 1)}^{2}}

d = \sqrt{10^{2} + 30^{2} + 5^{2}}

d = \sqrt{100 + 900 + 25}

d = \sqrt{1025} ≅ 32.02

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