SOLUTION: Find the measure of each side of the triangle JKL J (9,9) K (12,14) L(14,6) Would you be able to give me a example so I can solve this on my own?

Algebra ->  Triangles -> SOLUTION: Find the measure of each side of the triangle JKL J (9,9) K (12,14) L(14,6) Would you be able to give me a example so I can solve this on my own?      Log On


   

Question 913068: Find the measure of each side of the triangle JKL
J (9,9) K (12,14) L(14,6)
Would you be able to give me a example so I can solve this on my own?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the length of say segment JL, you need to find the distance from J to L

So you need to find the distance from (9,9) to (14,6)

We use the distance formula to do that

Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (9, 9), we can say (x1, y1) = (9, 9)
So x%5B1%5D+=+9, y%5B1%5D+=+9


Since the second point is (14, 6), we can also say (x2, y2) = (14, 6)
So x%5B2%5D+=+14, y%5B2%5D+=+6


Put this all together to get: x%5B1%5D+=+9, y%5B1%5D+=+9, x%5B2%5D+=+14, and y%5B2%5D+=+6

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Now use the distance formula to find the distance between the two points (9, 9) and (14, 6)



d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29


d+=+sqrt%28%289+-+14%29%5E2+%2B+%289+-+6%29%5E2%29 Plug in x%5B1%5D+=+9, y%5B1%5D+=+9, x%5B2%5D+=+14, and y%5B2%5D+=+6


d+=+sqrt%28%28-5%29%5E2+%2B+%283%29%5E2%29


d+=+sqrt%2825+%2B+9%29


d+=+sqrt%2834%29


d+=+5.8309518948453

==========================================================

Answer:


The distance between the two points (9, 9) and (14, 6) is exactly sqrt%2834%29 units


The approximate distance between the two points is about 5.8309518948453 units



So again,


Exact Distance: sqrt%2834%29 units


Approximate Distance: 5.8309518948453 units





The approximate distance from point J(9,9) to point L(14,6) is 5.8309518948453 units

So the length of JL is approximately 5.8309518948453 units (use the exact answer if the book requires it)

For more help, you can use this distance formula solver

You would apply these steps to find the length of JK and the length of KL.

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim