Question

The distance between the
points. A(6,8) and B 3,4)
Is
1,25
2,12
3, 10
4,5 unit​

Answer 1

The distance is 5 units.

Answer 2

$Let \: the \: coordinates \: of \: two\: points\\ A(6,8) = (x_{1} , y_{1}) \: and \\B(3,4) = (x_{2} , y_{2})$

/* By Distance Formula */

$\red{Distance \: between \: A\: and \: B } \\ =\green { \sqrt{ (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}}\\= \sqrt{ (3-6)^{2} + (4-8)^{2} } \\= \sqrt{(-3)^{2} + (-4)^{2} } \\ = \sqrt{ 9 + 16 } \\= \sqrt{25} \\= \sqrt{5^{2}} \\= 5$

Therefore.,

$\red{Distance \: between \: A\: and \: B } \green { = 5}$

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