Answer:
[tex]\sqrt{89}[/tex]
Step-by-step explanation:
d = [tex]\sqrt{(x_{1}-x_{2} )^{2} +(y_{1} -y_{2} )^{2} }[/tex]
d = [tex]\sqrt{(7-2)^{2} +(-2+10)^{2} }[/tex]
d = [tex]\sqrt{5^{2} +(-8)^{2} }[/tex]
d = [tex]\sqrt{25+64}[/tex]
d = [tex]\sqrt{89}[/tex]