SOLUTION: Hi I am very confused on these two problems the link is here https://docs.google.com/document/d/1wm3DYz9CfSorUik7rAmPmE8KDot4XqPKC6E_Ml6S

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

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) (Show Source): You can put this solution on YOUR website!
#29, triangle PQR

-

-

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) (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

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