SOLUTION: Hi I am very confused on these two problems the link is here https://docs.google.com/document/d/1wm3DYz9CfSorUik7rAmPmE8KDot4XqPKC6E_Ml6S_OE/edit

Algebra ->  Triangles -> SOLUTION: Hi I am very confused on these two problems the link is here https://docs.google.com/document/d/1wm3DYz9CfSorUik7rAmPmE8KDot4XqPKC6E_Ml6S_OE/edit      Log On


   

Question 1117720: Hi I am very confused on these two problems the link is here https://docs.google.com/document/d/1wm3DYz9CfSorUik7rAmPmE8KDot4XqPKC6E_Ml6S_OE/edit
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
#29, triangle PQR
QR+=+PQ%2B6
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PR=QR%2BPQ-18
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PR%2BPQ%2BQR=78

Three equations in three unknown quantities.
Question asks for QR. If you work with the set of equations carefully, you should be able to write the perimeter equation all in terms of QR.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


From an abstract point of view, these are both the same problem. By the way, I don't know where you got these problems, but the author's notation is out of whack. is a line segment. is the measure of that line segment. So to say is some numerical value is incorrect. is a line segment whose measure is . Yes, the difference is subtle, but it is important, and precise communication in mathematics requires precise definitions and equally precise usage.

.

The illustration is solely for the purpose of showing the relationships between objects in the problem. No attempt was made to scale the drawing to the actual sizes of anything.

Let the measure of , then let and

We are given that:





But since



And finally, since the perimeter is 78,



or



or









The other problem, aside from having measurements in feet instead of millimeters is almost exactly the same problem. I'm not going to do the same problem twice.

John

My calculator said it, I believe it, that settles it