Question

distance between the points (2, 3) and(4, 1) is

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Answer 1

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Question:-

Distance between the points (2,3)and (4,1) is

Answer:-

Given,

• (2,3)
• (4,1)

To Find,

• Distance between the points

Calculations,

Let,

Two points be A(2,3) and B(4,1)

We need to find distance between AB

AB = $\sqrt{ X_2- X_1 ^{2}+Y_2- Y_1^{2}}$

Here,

X1 = X coordinate of A = 2

X2 = X coordinate of A =3

Y1 = Y coordinate of B=4

Y2 = Y coordinate of B =1

Now substituting the given values:-

AB = $\sqrt{4- 2^{2}+1-3^{2}}$

$\implies$ AB = $\sqrt{2^{2}+-2^{2}}$

$\implies$ AB = $\sqrt{ (2×2) + (-2 × -2) }$

$\implies$ AB = $\sqrt{ (4) + (4) }$

$\implies$ AB = $\sqrt{8}$

$\implies$ AB = $\sqrt{4(2)}$

$\implies$ AB = $\sqrt{4 × (2)}$

$\implies$ AB = $\sqrt{4}$ × AB = $\sqrt{2}$

$\implies$ AB = 2 × $\sqrt{2}$

AB = AB = $\sqrt{2(2)}$

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-Happies!!