Respuesta :

EthanHinkle0369
Start with the Pythagorean theorem{A²+B²=C², A and B are the sides and C is the Hypotenuse/Longest Side.}
2²+4²=C²
4+16=C²
20=C².....{now square root both sides.√}
√20=√C²
4.472= C

P.S.: hope I helped :)

Answer:

the distance is 4.47 linear units

Step-by-step explanation:

Hello, I can help you with this.

you can solve this by using the distance between two points formula.

Step 1

let's remember the distance between two points formula.

Let

[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})[/tex]

the distance between P1 and P2 is given by:

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}} \\[/tex]

Step 2

all you have to do is put the values into the equation

Let

P1(2,1)

P2(4,5)

then

[tex]x_{1}=2\\y_{1}=1\\x_{2}=4\\y_{2}=5\\[/tex]

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}} \\\\d=\sqrt{(4-2) ^{2} +(5-1) ^{2}} \\\\d=\sqrt{(2) ^{2} +(4) ^{2}} \\\\d=\sqrt{20}\\ d=4.47[/tex]

so the distance between A and B is 4.47

I hope it helps , have a great day.

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