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

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Rod44 Rod44 · Answer 1 · 2017-10-23T19:31:24+02:00

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

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ColinJacobus ColinJacobus · Answer 2 · 2019-07-19T16:06:08+02:00

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.