Question

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

Answer 1

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

Answer 2

We have to use the distance formula.


`\sf~d=√((x_2-x_1)^2+(y_2-y_1)^2)`

(13, 20), (18, 8)
x1 y1 x2 y2

Plug in what we know:


`\sf~d=√((18-13)^2+(8-20)^2)`

Subtract:


`\sf~d=√((5)^2+(-12)^2)`

Simplify exponents:


`\sf~d=√(25+144)`

Add:


`\sf~d=√(169)`

Find the square root:


`\sf~d=\boxed{\sf13}`