Question

Find the distance between the
points (5, 7 (-1,3)​

Answer 1

Answer:

Step-by-step explanation:

the distance between the points (5,7) and ( -1,3)is

√(x 2-x 1)²+(y 2-y 1)²

√(-1-5)²+(3-7)²

√36+16

√52

therefore the distance between the points (5,7) and (-1,3) is √52

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Answer 2

Correct Question :

Find the distance between the

points (5,7) and (-1,3)

Solution :

Given ,

The points are (5,7) and (-1,3)

We know that , the distance between two points is given by

$\sf \fbox{D = \sqrt{ { (x_{2} - x_{1}) }^{2} + ({y_{2} - y_{1}) }^{2} } \: \: }$

Thus ,

$\sf \mapsto D = \sqrt{ {(-1 - 5) }^{2} + { (3 - 7)}^{2} } \\ \\\sf \mapsto D = \sqrt{ {( - 6)}^{2} + {( 4)}^{2} } \\ \\ \sf \mapsto D = \sqrt{36 + 16} \\ \\ \sf \mapsto D = \sqrt{52} \: \: units$

$\sf \therefore \underline{The \: distance \: is \: \sqrt{52} \: units}$