x = f(a,b,c), y = g(a,b,c), and z = h(a,b,c)
if a,b,c are sides of a triangle, then x,y,z are also sides of a triangle.
How can you write sets of functions f,g and h?
Asked
Active
Viewed 23 times
0
-
Do you mean, conditions on $x,y,z$? In any case, please edit for context. What is the source of this problem? What have you tried? It's easy to produce examples where $p,q,r$ do make a triangle...what are some examples in which it doesn't? Can you say something about those? – lulu Jul 21 '23 at 11:33
-
Well, I suggest starting with examples. Find some examples in which you fail to get a triangle, try to generalize those. – lulu Jul 21 '23 at 11:40
-
x=y=z=1, can be. If they are, p, q and r will be equal and hence form an equilateral triangle. – Seetha Rama Raju Sanapala Jul 21 '23 at 21:09
-
In fact, x, y,z can be equal to any number. Then p,q and r will form an equilateral triangle. – Seetha Rama Raju Sanapala Jul 21 '23 at 22:17
-
As suggested in the context of another question, posted the same question in mathematics educators exchange also. – Seetha Rama Raju Sanapala Jul 25 '23 at 13:00