Question

find the distaneen the points A(1,2)and B (4,1
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Answer 1

Required Answer:-

Question:

• Find the distance between the points A(1, 2) and B(4, 1)

Solution:

We have,

$\sf \implies x_{1} = 1$

$\sf \implies x_{2} = 4$

$\sf \implies y_{1} =2$

$\sf \implies y_{2} =1$

Now, distance between two points is calculated using this formula,

$\sf \implies D = \sqrt{ {(x_{2} - x _{1}) }^{2} + {(y _{2} - y_{1})}^{2} }$

So, distance between points A and B will be,

$\sf = \sqrt{ {(x_{2} - x _{1}) }^{2} + {(y _{2} - y_{1})}^{2} }$

$\sf = \sqrt{ {(4 - 1) }^{2} + {(1 - 2 )}^{2} }$

$\sf = \sqrt{ {3}^{2} + {1}^{2} }$

$\sf = \sqrt{10} \: units$

★ Hence, the distance between the two points is √10 units.

Answer:

• The distance between the two points is √10 units.