First, you should connect the two points using a 90 degree triangle. Seeing that the distance along the x-axis (leg one) is 4 (6-2=4), and the distance along the y-axis (leg two) is 7 (5-(-2)=7), you at this point can plug these two numbers into the formula "(a^2)+(b^2)=c^2".
4 squared is 16.
7 squared is 49.
According to the Pythagorean Theorem, the sum of the squares of two legs in a right triangle will equal the squared length of the hypotenuse.
In this scenario:
16+49=65
And using either long division or a calculator, we can find that the square root of 65 is 8.06.
8.06 is the final answer.
I hope this made sense! Good luck and Happy New Year!
