Respuesta :
This sounds like a multiple choice question and I do not know the options, but to find the distance use pythagorean theorem. [tex] a^{2} +b ^{2} =c ^{2} [/tex]
Answer:
square root of the quantity of [tex]7[/tex] minus [tex]2[/tex] all squared plus [tex]1[/tex] minus [tex]13[/tex] all squared
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]G(13,2)\\H(1,7)[/tex]
substitute the values
[tex]d=\sqrt{(7-2)^{2}+(1-13)^{2}}[/tex] -----> this is the expression
[tex]d=\sqrt{(5)^{2}+(-12)^{2}}[/tex]
[tex]d=\sqrt{169}\ units[/tex]
[tex]dGH=13\ units[/tex]