Question

what is the distance between (3,3) and (5,3)

Answer 1

Solution :

Here, given two points

• (3 , 3)
• (5 , 3)

i.e.

• A(3 , 3)
• B(5 , 3)

As we know that formula for finding distance between two points is

• √{(x2 - x1)² + (y2 - y1)²}

Let

• x1 = 3
• x2 = 5
• y1 = 3
• y2 = 3

Put the values in the formula.

• Now, according to question :

➝ Distance AB = √{(5 - 3)² + (3 - 3)²}

➝ Distance AB = √{(2)² + (0)²}

➝ Distance AB = √{4 + 0}

➝ Distance AB = √4

➝ Distance AB = 2

• Hence, the distance between the points AB is 2 units.

Answer 2

${\huge{\rm{\underline{\underline{Question:-}}}}}$

Q) What is the distance between ( 3 , 3 ) and ( 5 , 3 ) ?

${\huge{\rm{\underline{\underline{Answer\checkmark}}}}}$

$\bf{Given}\begin{cases}\sf{Two\;points.}\\ \sf{First\;Point=\bf{(3,3)} }\\ \sf{Second\;Point=\bf{(5,3)}}\end{cases}$

$\bf{To\;Find}\begin{cases}\sf{The\;Distance\;between\;these\;two\;points}\end{cases}$

$\huge{\underline{\textit{\textbf{Solution :-}}}}$

Let the points be A and B .

i.e.

• A = (3,3)
• B = (5,3)

As we are supposed to find the distance between these two points so , we would the Distance Formula (d) .

$\pink{ \star} \: \boxed{ \sf{d = \sqrt{ { ({x _{2} } - x _{1}} {}^{2} ) + {(y _{2} - y_{2} )}^{2} }}}$

Here ,

$\rightarrow \sf \: x _{1} \: and \: y _{1} \: are \: x \: and \: y \: coordinates \: of \: point \: A.$

&

$\rightarrow \sf \:x _{2} \: and \: y _{2} \: are \: x \: and \: y \: coordinates \: of \: point \: B.$

So ,

$\bull \: \sf \: x _{1} = 3 \\ \bull \: \sf \: y _{1} = 3$

&

$\bull \: \sf \: x _{2} = 5 \\ \bull \: \sf \: y _{2} = 3$

Put these values in the Distance Formula ..

$\rm \longmapsto \: d = \sqrt{ {(5 - 3)}^{2} + {(3 - 3)}^{2} } \\ \\ \longmapsto \rm \: d = \sqrt{ {2}^{2} + {0}^{2} } \\ \\ \longmapsto \rm \: d = \sqrt{4 + 0} \\ \\ \longmapsto \rm \: d = \sqrt{4} \\ \\ \longmapsto \underline{ \boxed{ \rm{ \pink{d = 2}}}}$

So ,

The distance between these two points is 2 units .