Hello,
Answer:
The length of AB is 17
Step-by-step explanation:
[tex]AB = \sqrt{(x_{B} -x_{A} ) {}^{2} + (y_{B} -y_{A} ) {}^{2} } [/tex]
[tex]AB = \sqrt{(2 - 10) { }^{2} + (19 - 4) {}^{2} } [/tex]
[tex]AB = \sqrt{( - 8) {}^{2} + (15) {}^{2} } [/tex]
[tex]AB = \sqrt{64 + 225} [/tex]
[tex]AB = \sqrt{289} [/tex]
[tex]\boxed{AB = 17}[/tex]
