Question

Find the distance between p(6,8)and 0(-9-12)

Answer 1

Answer:

Given:(6,8) and(-9,-12)

Using distance formula,

=√(-9-6)² +√(-12-8)²

=√225+400

=√625

=25 units

Answer 2

Answer:

The distance between the points (6, 8) and (-9, -12) is 25.

Step-by-step explanation:

Given:

First Point, P = (6,8)

Second Point, O = (-9, -12)

Find:

Distance between P and O = ?

Solution:

• The distance formula gives the distance between two points.

• If the two points are $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$, then the distance,

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

Here, $x_{1} = 6, y_{1} = 8$ and $x_{2} = -9, y_{2} = -12$

∴ $d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

⇒ $d = \sqrt{(-9 - 6)^{2} + (-12-8)^{2} }$

⇒ $d = \sqrt{(-15)^{2} + (-20)^{2} }$

⇒ $d = \sqrt{225+400 }$

⇒ $d= \sqrt{625}$

⇒ $d= 25$

That is, the distance between the points (6,8) and (-9,-12) is 25

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