If there are two points, one being F(9,5) and the other being L(-2,2) and you are told to use the Pythagorean Theorem to find the distance between the two points, how exactly do you get that answer?
First we plot the two points on graph paper and connect them,
like this:
Then we draw a horizontal line and a vertical line to make
a right triangle, like this,
Count the unit marks on the horizontal line, getting 11.
Count the unit marks on the vertical line, getting 3.
The line joining the two points, which is the distance
between the two points, is the hypotenuse of the right
triangle, so we use the Pythagorean theorem to find the
length of the hypotenuse:
c² = a² + b²
c² = 11² + 3²
c² = 121 + 9
c² = 130
c = √130
c ≈ 11.40175425 or about 11.4
Edwin