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Find the distance between (13,20) and (18,8)?

Sagot :

We have to use the distance formula.

[tex]\sf~d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

(13, 20), (18, 8)
x1   y1    x2  y2

Plug in what we know:

[tex]\sf~d=\sqrt{(18-13)^2+(8-20)^2}[/tex]

Subtract:

[tex]\sf~d=\sqrt{(5)^2+(-12)^2}[/tex]

Simplify exponents:

[tex]\sf~d=\sqrt{25+144}[/tex]

Add:

[tex]\sf~d=\sqrt{169}[/tex]

Find the square root:

[tex]\sf~d=\boxed{\sf13}[/tex]

13 is the answer?.....?......?