Greetings! I am pleased that there are new followers even in the midst of my long break from Steemit. A warm welcome to everybody.
The following question is taken from an old General Certificate in Education Advanced Level Mathematics Examination. It is a national examination taken by Singapore junior college students (equivalent to about grade 12), but the question was from an older syllabus.
The problem tests you on arithmetic progressions. One important characteristic of an A.P. is that the terms share a common difference. So if x, y and z are consecutive terms of an A.P., then y - x equal to z - y.
In case you don't know, here the standard labelling of a triangle ABC. Capital (upper case) letters are used to label vertices, while lower case letters are used to label the length of their respective opposite sides.
Although this question involves trigonometry, particularly the Sine Law and the Cosine Law, the solution would be a pain to write down if we stick to trigonometry. I found that the solution is easier to write down if we reduce it to an algebra problem.
My final solution is presented as follows:-
If you find my articles useful or interesting, please upvote and resteem them! Thanks !
Cheers!!!
@tradersharpe
-- promoting sharp minds
Really very good solution for me, Thank you so much.
Sharpening our minds indeed.
Thanks for your ongoing support and for teaching us all of these cool maths!
Slowly but surely, we are all learning something new everyday!
I appreciate how creatively you made use of the sine and cosine laws. Very clean, elegant solution!
This is a good solution for me, thanks for sharing.
ouch my tiny brain hurts... tl;dr.
Stop eating McDonalds !!!!
May Peace, Love, Awaken and Awareness be your guide.
Resteem your post at Steem/SBD 0.03
Fellow @jossylink and send steem/sbd 0.03 with your post url as memo
this is geagraphucal place
thanks for sharinig
@alchemage has voted on behalf of @minnowpond.
If you would like to recieve upvotes from minnowponds team on all your posts, simply FOLLOW @minnowpond.
To receive an BiggerUpvote send 0.5 SBD to @minnowpond with your posts url as the memo To receive an BiggerUpvote and a reSteem send 1.25SBD to @minnowpond with your posts url as the memo To receive an upvote send 0.25 SBD to @minnowpond with your posts url as the memo To receive an reSteem send 0.75 SBD to @minnowpond with your posts url as the memo To receive an upvote and a reSteem send 1.00SBD to @minnowpond with your posts url as the memoartikel yang sangat berguna bagi saya yang sering menggunakan rumus tersebut dalam pekerjaaan pemetaan.. terima kasih kawan