Answer:
M
Step-by-step explanation:
We have been given side AB and BC
AB must be 6 as it is between 4 and -2 and that distance is 6 (we have been given no units).
BC must be also 6 as it starts at -4 and ends at 2.
Pythagoras Theorem = a^2 + b^2 = c^2 (^2 means squared)
C is the hypotenuse (longest side) and this is what we are trying to find...
6^2 + 6^2 = 36+36=72
So AC is 72, however we need to square root this to get our final answer.
72 doesn't square easily, so we will use surds. 72 is 36*2 and 36 is a square number hence why...
AC is 6 root 2
Hope this helps!
