Respuesta :
The answer is given by Pythagoras’ Theorem. √((8-5)²+(6-2)²)=√(9+16)=√25=5, answer option 2.
Answer: The correct option is (B) 5.
Step-by-step explanation: We are given to find the distance between the points (2, 5) and (6, 8).
We will be using the following formula :
DISTANCE FORMULA : The distance between the points (a, b) and (c, d) is given by
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
Therefore, the distance between the points (2, 5) and (6, 8) is given by
[tex]D\\\\=\sqrt{(6-2)^2+(8-5)^2}\\\\=\sqrt{4^2+3^2}\\\\=\sqrt{16+9}\\\\=\sqrt{25}\\\\=5.[/tex]
Thus, the required distance between the given points is 5 units.
Option (B) is CORRECT.
