Solving a Triangle: b=17.8m & theta = 65°, Find a & c

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Homework Help Overview

The discussion revolves around solving a right triangle with given dimensions: side b measuring 17.8m and angle theta at 65 degrees. Participants are tasked with finding the lengths of sides a and c, where side C is the hypotenuse.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants present initial calculations for sides a and c, with one suggesting that the calculated values may not satisfy the properties of a right triangle. There are requests for showing work to identify potential errors in the calculations.

Discussion Status

The discussion is ongoing, with some participants questioning the validity of the calculated values based on the Pythagorean theorem. There is a call for more detailed work to clarify the reasoning behind the calculations. Multiple interpretations of the problem setup are being explored.

Contextual Notes

There is a note that the thread may be miscategorized in the forum, as it pertains more to precalculus mathematics than introductory physics.

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Homework Statement


Solve the following right triangle.
b=17.8m and theta = 65 degrees. (Right angle is at bottom left, C is hypotenuse, A is bottom leg, B is left leg, theta is opposite of B).
Solve for a & c


Homework Equations





The Attempt at a Solution


a= 8.3m
c= 42.118m

But wouldn't that make the triangle not work?
 
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Goopy17 said:

Homework Statement


Solve the following right triangle.
b=17.8m and theta = 65 degrees. (Right angle is at bottom left, C is hypotenuse, A is bottom leg, B is left leg, theta is opposite of B).
Solve for a & c


Homework Equations





The Attempt at a Solution


a= 8.3m
c= 42.118m

But wouldn't that make the triangle not work?

Your a value is good. Your C value is wrong? Calculator error [ie you pushed the wrong buttons or used the wrong functions]
 
by "attempt at a solution" it means SHOW YOUR WORK.

Can't tell where you went wrong if you just give the answer you got
 
Goopy17 said:
ion[/b]
a= 8.3m
c= 42.118m

But wouldn't that make the triangle not work?

Yes, that cannot be a right triangle. Your answers don't obey Pythagoras, since in your case,
a2 + b2 ≠ c2.

So, you must have messed up somewhere. You're going to have to show your work if you want us to help you figure out where you went wrong.

By the way, for future reference, this type of thread should be in the "Precalculus Mathematics" forum, not Introductory Physics (since it is, in fact, pre-calculus math, and not intro physics).
 
I got 19.64m for my new c
 
Goopy17 said:
I got 19.64m for my new c

Well good for you. Again, if you expect any useful feedback from us, you have to show your work. I'm not sure what part of that you didn't understand.
 

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