geometry

[beccamcginn]

what is the distance between points (4,14) and (10,6)
what is the distance between points (10,6) and (16,14)
what si the distance between points (16,14) and (4,14)

 

[wjm11]

http://www.purplemath.com/modules/distform.htm

 

[galactus]

Just use the distance formula based on the Pythagorean theorem.

\(\displaystyle D=\sqrt{(x-x_{1})^{2}+(y-y_{1})^{2}}\)

Here is the first one \(\displaystyle x=10, \;\ x_{1}=4, \;\ y=6, \;\ y_{1}=4\)

Plug and chug.

 

[Denis]

Plug and chug.

That's too much work

 

[chrisr]

the third one is not too much work, it,s 16-4 = 12 as the y co-ordinates are the same.
The other two are 8 divided by Sin{inverse tan of (8/6)} and 8 divided by Sin{inverse tan of (8/4)}

They go straight into the calculator!