find the distance between the points (3,-2) and (6,4)

You can also use the distance formula (which comes directly from pythagoras' theorem)

$$x_1=3\qquad x_2=6 \qquad y_1=-2 \qquad y_2=4$$

We just need to make this into a triangle, then knowing that it is a right triangle and knowing the length/height we can use the Pythagorean Theorem to solve for the distance.

To find c we can use the Pythagorean Theorem (a^2 + b^2 = c^2)

a^2 + b^2 = c^2

3^2 + 6^2 = c^2

9+36=c^2

45=c^2

√45 = c

c = √45

or

c ≈ 6.7