Question

find the distance between that following pairs of point A(2,3) B(4,1)

Answer 1

Heya!
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➡Coordinate Geometry ⬅
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▪Given points are :
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=> A ( 2 , 3 ) and B ( 4 , 1 )

⭐⭐Using the Distance Formula :
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$= > > \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }$
Here !!
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X1 = 2

X2 = 4

Y1 = 3

Y2 = 1



✔Putting in values to the formula ,
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$= > > \sqrt{(4 - 2) {}^{2} + (1 - 3) {}^{2} } \\ \\ = > > \sqrt{(2) {}^{2} + ( - 2) {}^{2} } \\ \\ = > > \sqrt{4 + 4} \\ \\ = > > \sqrt{8} \\ \\ = > > 2 \sqrt{2} sq. \: units$
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Answer 2

Formula for distance:

$\text {Distance = } \sqrt{(X_1 - X_2)^2 + (Y_1-Y_2)^2 }$

Given that the two points are (2, 3) and (4, 1):

$\text {Distance = } \sqrt{(4-2)^2 + (1-3)^2 }$

$\text {Distance = } \sqrt{(2)^2 + (-2)^2 }$

$\text {Distance = } \sqrt{8}$

$\text {Distance = } 2\sqrt{2} \text { units}$