Question

Find the distance between the following pairs of points segment joining the points. A(-6,10) and B(3,-8) ?​

Answer 1

Answer:

Distance between A and B is 3√37 units

Explanation:

Given points,

• A(-6, 10)
• B(3, -8)

Using distance formula,

$\boldsymbol{ \longrightarrow \: \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} }$

Where,

• $\boldsymbol{x_1 = -6 \: \& \: x_2 = 3}$
• $\boldsymbol{y_1 = 10 \: \& \: y_2 = -8}$

Substituting the coordinates,

$\boldsymbol{ \longrightarrow \: \sqrt{(3 - 6)^2 + ( - 8 - 10)^2} }$

$\boldsymbol{ \longrightarrow \: \sqrt{( - 3)^2 + ( - 18)^2} }$

$\longrightarrow \: \boldsymbol{ \sqrt{ \: {9 + 324} }}$

$\longrightarrow \: \boldsymbol{ \sqrt{ \: {333} }}$

$\longrightarrow \: \boldsymbol{ 3\sqrt{ \: {37} }}$

∴ Distance between the points A and B is 3√37 units

_____________________

Note:

Distance formula,

$\boldsymbol{ \longrightarrow \: \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} }$

Where,

$\boldsymbol {x_1 \: {\sf and }\: y_1}$ denotes the coordinate of the first point.

And

$\boldsymbol {x_2 \: {\sf and }\: y_2}$ denotes the coordinate of second point.