Question

If A = (10, 4) and B = (2, 19) what is the length of AB

Answer 1

Hello,

Answer:

The length of AB is 17

Step-by-step explanation:

$AB = \sqrt{(x_{B} -x_{A} ) {}^{2} + (y_{B} -y_{A} ) {}^{2} }$

$AB = \sqrt{(2 - 10) { }^{2} + (19 - 4) {}^{2} }$

$AB = \sqrt{( - 8) {}^{2} + (15) {}^{2} }$

$AB = \sqrt{64 + 225}$

$AB = \sqrt{289}$

$\boxed{AB = 17}$