Question

what is distance between (2,3) and (3,4)​

Answer 1

Answer:

➠ WKT

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

➠ Here

$\frac{x_{1} = 2}{x_{2} = 3} \: and \: \frac{y_{1} = 3}{y_{2} = 4}$

Using Distance Formula

$⟼ \sqrt{(x_{2} - x_{1} ) ^{2} + ( y_{2} -y _{1} ) ^{2}} \\ ⟼ \sqrt{(3 - 2 ) ^{2} + ( 4 - 3) ^{2}} \\⟼ \sqrt{(1 ) ^{2} + ( 1) ^{2}} \\⟼ \sqrt{1^{} + 1 ^{}} \\⟼ \sqrt{2}$

Therefore , Distance between (2,3) and (3,4) is √2 Units