Question

graph a right triangle with the two points forming the hypotenuse. using the sides, find the distance between the two points in simplest radical form.
(-7, -3) and (2, 5)
click twice to draw a line. click a segment to erase it.

Explanation:

Step1: Calculate horizontal side length

Subtract x-coordinates: $2 - (-7) = 9$

Step2: Calculate vertical side length

Subtract y-coordinates: $5 - (-3) = 8$

Step3: Apply Pythagorean theorem

Let $d$ = distance. $d = \sqrt{9^2 + 8^2}$

Step4: Simplify the radical

$\sqrt{81 + 64} = \sqrt{145}$

Answer:

$\sqrt{145}$