Question

What is the length of side AB of the triangle?

Answer 1

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 2

the distance is 4.47 linear units

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

`P1(x_(1),y_(1))\\P2(x_(2),y_(2))`

the distance between P1 and P2 is given by:

`d=\sqrt{(x_(2)-x_(1)) ^(2) +(y_(2)-y_(1)) ^(2)} \\`

Step 2

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

Let

P1(2,1)

P2(4,5)

then

`x_(1)=2\\y_(1)=1\\x_(2)=4\\y_(2)=5\\`

`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=√(20)\\ d=4.47`

so the distance between A and B is 4.47

I hope it helps , have a great day.