Question

On the coordinate plane shown below, points H and I have coordinates (-2,-3) and (3,2), respectively. Use the Pythagorean theorem to determine the distance between points H and I on the coordinate plane. A)5 B)5?2 C)10 D)25

Answer 1

Answer:

It is 5√2.

Step-by-step explanation:

Answer 2

Answer:

Option B $HI=5\sqrt{2}\ units$

Step-by-step explanation:

Applying the Pythagoras Theorem

$HI^{2}=(y2-y1)^{2}+(x2-x1)^{2}$

substitute the given values

$HI^{2}=(2+3)^{2}+(3+2)^{2}$

$HI^{2}=(5)^{2}+(5)^{2}$

$HI^{2}=50$

$HI=5\sqrt{2}\ units$