Question

Find the distance between (9,2)and (2,3)

Answer 1

The distance between (9,2) and (2,3) is:

√{(2-9)² + (3-2)²} = √(49+1) = √50

= 5√2 unit .

Hope it's helpful to you.

Please mark as Brainlist answer.

Answer 2

Answer:

$\huge{ \bold{ \boxed{ \tt{5 \sqrt{2} \: units}}}}$

Step-by-step explanation:

$\bigstar \: \underline{\text{Let \: the \: points \: be \: A \: and \:B : }}$

$\bullet\:\sf{ \: A(9 \:, 2)\longrightarrow{ \: (x_1 \:, y_1)}}$

$\bullet\:\sf{B( 2,\: 3) \longrightarrow{(x_2 \:, y_2)}}$

$\bigstar\:\:\underline{ \text{Using \: distance \: formula \:, we \: get } } :$

$\dashrightarrow\:\:\sf{Distance = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} } }$

$\dashrightarrow\:\:\sf{Distance = \sqrt{ {(9 - 2)}^{2} + {(2 - 3)}^{2} } }$

$\dashrightarrow\:\:\sf{Distance = \sqrt{ {(7)}^{2} + {( - 1)}^{2} } }$

$\dashrightarrow\:\:\sf{Distance = \sqrt{ {(49)} + {(1)} } }$

$\dashrightarrow \: \: \sf{Distance = \sqrt{50}}$

$\dashrightarrow \: \: \underline{ \boxed{\sf{Distance = 5\sqrt{2}} \: units }}$