- #1
maistral
- 240
- 17
WARNING: THIS IS NOT HOMEWORK~!
Okay, so the problem goes like this:
"Find a,b,c of a triangle; If a+b+c = 10 ; Area = 10"
I know it sounds totally vague (I think so too). So I tried using the Pythagorean theorem;
c2 = a2+b2
then the given equation;
10 - a - b = c;
then the formula for a right triangle;
10 = 1/2 * a * b; b = 20/a
finally;
(10 - a - 20/a)2 = a2+(20/a)2
And solving for a, it does not converge to a solution. I tried Heron's formula as well for the area; it doesn't converge properly as well (negative value for b). Am I missing something here; or is this problem really unsolvable?
Okay, so the problem goes like this:
"Find a,b,c of a triangle; If a+b+c = 10 ; Area = 10"
I know it sounds totally vague (I think so too). So I tried using the Pythagorean theorem;
c2 = a2+b2
then the given equation;
10 - a - b = c;
then the formula for a right triangle;
10 = 1/2 * a * b; b = 20/a
finally;
(10 - a - 20/a)2 = a2+(20/a)2
And solving for a, it does not converge to a solution. I tried Heron's formula as well for the area; it doesn't converge properly as well (negative value for b). Am I missing something here; or is this problem really unsolvable?