Question

Find the distance between the points given. (2, 5) and (6, 8) √(37) 5 √(22)

Answer 1

The answer is given by Pythagoras’ Theorem. √((8-5)²+(6-2)²)=√(9+16)=√25=5, answer option 2.

Answer 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

`D=√((c-a)^2+(d-b)^2).`

Therefore, the distance between the points (2, 5) and (6, 8) is given by

`D\\\\=√((6-2)^2+(8-5)^2)\\\\=√(4^2+3^2)\\\\=√(16+9)\\\\=√(25)\\\\=5.`

Thus, the required distance between the given points is 5 units.

Option (B) is CORRECT.