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

B

Explanation:

Answer 2

Option B
`HI=5√(2)\ units`

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√(2)\ units`