[tex] \large{ \text{Hii,Hope \: you \: are \: fine!}}[/tex]
This is a question from coordinate geometry. This is a very simple question. You can solve it by using distance formula.
First we have to assume the coordinates as following:-
Let the coordinates of A be (8,4) and coordinates of B be (5,1).
Further we have to assume:-
[tex] \mapsto\sf{X_1=8}[/tex]
[tex]\mapsto \sf{Y_1=4}[/tex]
[tex]\mapsto \sf{X_2=5}[/tex]
[tex]\mapsto \sf{Y_2=1}[/tex]
Here we have distance formula:-
[tex] \sf{Distance \: of \: AB= \sqrt{({X_2-X_1) }^{2} + {( Y_2-Y_1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({5 - 8) }^{2} + {( 4 - 1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({ - 3) }^{2} + {( 3) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{9+ 9 } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{18} }[/tex]
[tex] \sf{Distance \: of \: AB= 3 \sqrt{2} cm }[/tex]
This is your final answer.
KINDLY VISIT WEB TO UNDERSTAND MORE CLEARLY.
