Clint is trying to calculate the distance between point G(13, 2) and point H(1, 7). Which of the following expressions will he use?

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]