In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
point C (5 , 7)
point D (-3 , -12)
Step 02:
distance between two points:
[tex]d\text{ = }\sqrt{(x2-x1)\placeholder{⬚}^2+(y2-y1)\placeholder{⬚}^2}[/tex][tex]d\text{ =}\sqrt{(-3-5)\placeholder{⬚}^2+(-12-7)\placeholder{⬚}^2}=\sqrt{(-8)\placeholder{⬚}^2+(-19)\placeholder{⬚}^2}[/tex][tex]d=\sqrt{64+361}=\sqrt{425}=20.62[/tex]The answer is:
distance between C and D:
20.62