Question

What is the distance between A(2,1) and B(8,9)

Answer 1

Answer:

here is the answer

Answer 2

Given

$\sf \to \: A(2,1) \: \: and \: \: B(8,9)$

To Find

➝Distance between two points

Formula

$\sf \to \: AB = \sqrt{(x_{2} - x_1) {}^{2} + (y_2 - y_1)^{2} }$

We Have

$\sf \to \: A(x_1 = 2,y_1 = 1) \: \: and \: \: B(x_2 = 8,y_2 = 9)$

Now Put the Value on Formula

$\sf \to \: AB = \sqrt{(8 -2) {}^{2} + (9 - 1)^{2} }$

$\sf \to \: AB = \sqrt{(6) {}^{2} + (8)^{2} }$

$\sf \to \: AB = \sqrt{36 + 64 }$

$\sf \to \: AB = \sqrt{100 }$

$\sf \to \: AB = \pm10$

➝We have two Answer +10 units and - 10 units

➝So we take +10 units because distance is never Negative

Answer

➝Distance between AB = 10units