Question

Find the distance between the coordinate of the points A(2,3) & B(10,-3

Answer 1

Answer:

Given:-

• The points are A( 2,3 ) and B( 10, -3)

Formula Used:-

Here, we can find out the distance b/w two points by using the Distance Formula...

$\boxed{ \sf{Distance\:=\:\sqrt{(\:x_{2}\:-\:x_{1}\:)^{2}\:+\:(\:y_{2}\:-\:y_{1}\:)^{2}}}}$

where,

x₁ = 2

y₁ = 3

x₂ = 10

y₂ = -3

Solution:-

Applying the distance formula:

$\sf{\dashrightarrow\:Distance\:=\:\sqrt{(\:x_{2}\:-\:x_{1}\:)^{2}\:+\:(\:y_{1}\:-\:y_{2}\:)^{2}\:} }$

$\sf{\dashrightarrow\:Distance\:=\:\sqrt{(\:10-2)^{2}+( - 3 - 3)^{2}} }$

$\sf{\dashrightarrow\:Distance\:= \sqrt{ {8}^{2} + { - 6}^{2} } }$

$\sf{\dashrightarrow\:Distance\:=\:\sqrt{\:(64\:+\:36)\:} }$

$\sf{\dashrightarrow\:Distance\:=\:\sqrt{100} }$

$\sf{\dashrightarrow\:Distance\:=\:10\:units}$

Hence, the distance between A(2,3) and B(10,-3) is 10 units.

Answer 2

Answer:

find tge distance between the coordinate of the point A(2and b(10,-3)2,3)

Step-by-step explanation: