Find the area.
- Thread starter Farzin
- Start date
pka
Elite Member
- Joined
- Jan 29, 2005
- Messages
- 11,974
Steven G
Elite Member
- Joined
- Dec 30, 2014
- Messages
- 14,559
I used a few trig formulas including Heron's formula and here is what I got.
The radius of the circle is 65/2.
The side of the triangle associated with the length of 20 is 60.
The side of the triangle associated with the length of 13 is 52.
The side of the triangle associated with the length of 16 is 56.
From Heron's formula the area is 2688.
EDIT: I did use WA to find the length of the side which was 60.
The radius of the circle is 65/2.
The side of the triangle associated with the length of 20 is 60.
The side of the triangle associated with the length of 13 is 52.
The side of the triangle associated with the length of 16 is 56.
From Heron's formula the area is 2688.
EDIT: I did use WA to find the length of the side which was 60.
Last edited:
Hello Otis,
You've been here for almost five years and you are definitely more than five years old. Haven't you ever come across a problem which you didn't know what to do and how to start?
Instead of wasting the time and efforts of all of us in here, it would be much better to help if you can and give hints or suggestions if you HAVE any.
By the way, why should I challenge the members in here? What is the use of that? I am not a kid.
You've been here for almost five years and you are definitely more than five years old. Haven't you ever come across a problem which you didn't know what to do and how to start?
Instead of wasting the time and efforts of all of us in here, it would be much better to help if you can and give hints or suggestions if you HAVE any.
By the way, why should I challenge the members in here? What is the use of that? I am not a kid.
Thank you very much, now I have something to start with.
Steven G
Elite Member
- Joined
- Dec 30, 2014
- Messages
- 14,559
Now you want the angles??
Steven G
Elite Member
- Joined
- Dec 30, 2014
- Messages
- 14,559
Actually the area is 1344.
Yes thank you. I used those side lengths that you calculated in a geometry software and I got 1344 for the area too, but I am still struggling to find those side lengths.
D
Deleted member 4993
Guest
Please share your work - "struggle".
What are the "things" that you have tried and did not work.
Please share complete work (NOT statements like "sum of angles in a triangle = 180o and that did not work")
Do you have anything to share?
Otis
Elite Member
- Joined
- Apr 22, 2015
- Messages
- 4,592
Hi Farzin. I acknowledge your frustration.
It's difficult to tutor students, when we don't know anything about why they're stuck or what they've thought about. We prefer specific information (at least one clue); that's the best way for us to provide good help quickly.
For example, is a student stuck because they don't know the meaning of the word 'sagitta'? If so, we'd like to know. If not, then they must be stuck for a different reason. We'd like to know something about 'why'.
Here's a link to the forum's guideline summary.
I'll make a conscious effort to do better.
For fun! Members regularly post brainteasers, puzzles and other challenges on the forum's 'Odds & Ends' board. That board is also used for miscellaneous postings (eg: math and science news, jokes and cartoons -- basically, anything that's not homework). You posted on the 'Odds & Ends' board; I sincerely could not tell whether your op was meant as a challenge. (That's the only reason why I'd asked.)
?
Last edited:
Otis
Elite Member
- Joined
- Apr 22, 2015
- Messages
- 4,592
Which angle are you trying to find?
Does symbol x (in post #12) represent the measurement you're trying to find? (I need help understanding what x represents, in that diagram.)
\(\;\)
Steven G
Elite Member
- Joined
- Dec 30, 2014
- Messages
- 14,559
You have 3 isosceles triangles. Get 3 equations from there using the pythagorean theorem.
There are 5 unknowns--The area of the triangle, the radius of the circle and the length of the 3 sides. I simply got 5 equations and solved that system
There are 5 unknowns--The area of the triangle, the radius of the circle and the length of the 3 sides. I simply got 5 equations and solved that system
Who told you that I am frustrated?
I am not a student and I don't think you are a tutor.
I am aware of the content of that link, that is why I posted my problem here to avoid those silly interrogations.
About that angle, please don't bother. If you were able to help, you could have done it by now. Any person familiar with the subject could quickly see what angle we were talking about.
I have done my homework many many years ago, probably even before you were born.
Thank you very much. I am going to try that.
D
Deleted member 4993
Guest
Have yu tried to use any equation from The reference https://en.wikipedia.org/wiki/Circular_segment
In particular have you tried:
You should get 3 equations out of that.
Yes thank you, I solved it.