Answer:
The distance between points A and B is:
Step-by-step explanation:
First check the following for the distance between points A and B:
- The vertical distance is 4 (since it starts at 1 and ends at 5)
- The horizontal distance is 5 (since it starts at -1 and ends at 4)
With these two values, imagine that it is a right triangle and that the distance between A and B is the hypotenuse, for which you can use the Pythagorean Theorem which mentions that:
- Hypotenuse^2 = opposite leg^2 + adjacent leg^2
In this case you should not worry about which is the opposite leg and which is the adjacent one, since there is no given angle, then you only have to replace and operate to obtain the value of the squared hypotenuse:
- Hypotenuse^2 = 4^2 + 5^2 = 41
But since you need is the normal hypotenuse, not squared, you apply square root to the obtained result:
- Hypotenuse = square root (41) = 6.4
