2007-11-02 07:14:26 · 11 answers · asked by brian p 1 in Science & Mathematics ➔ Mathematics
It would just have to be greater than the longer side minus the shorter side.
The minimum length can approach zero but can never be equal to zero.
2007-11-02 07:18:05 · answer #1 · answered by TheOtterRules 2 · 1⤊ 1⤋
The minimum doesn't exist. No matter how small you make the angle, there is a smaller angle that will make the third side shorter. Unless, of course, you pick the angle zero. But then you don't have a triangle.
You can, on the other hand, put a lower bound on the length of the third side. As TheOtter said, the lower bound will be the difference of the length of the other two sides.
2007-11-04 00:42:24 · answer #2 · answered by Pritam K 2 · 1⤊ 2⤋
The minimum doesn't exist. No matter how small you make the angle, there is a smaller angle that will make the third side shorter. Unless, of course, you pick the angle zero. But then you don't have a triangle.
You can, on the other hand, put a lower bound on the length of the third side. As TheOtter said, the lower bound will be the difference of the length of the other two sides.
2007-11-02 07:23:33 · answer #3 · answered by Demiurge42 7 · 0⤊ 2⤋
let the given two sides of the triangle be a and b. since the sum of the two sides should be greater than the length of third side, the length of the third side should be minimum greater than a+b.
the solution is any real number > a+b will be the minimum length of the third side that make a triangle. (Angle is not required)
2007-11-03 00:17:10 · answer #4 · answered by veeraa1729 2 · 0⤊ 2⤋
Triangle Inequality Rule: Sum of lengths of 2 sides of a triangle is larger than the length of the third side.
a+b>c
a+c>b
b+c>a
Suppose a and b are the sides given. We need to find a minimum for c.
c > a-b
c > b-a
c > |a-b|
2007-11-02 07:30:25 · answer #5 · answered by np_rt 4 · 1⤊ 1⤋
we assume that x be the length of one side and y be the length of the another side then the third side must be greater than | x - y |. because(z is the length of the third side) :
z + x > y And z + y > x => z > | x - y |
note that z can not be equal to x - y .it must be greater!!!
example:
3 , 5 => z > 2
2007-11-02 07:31:45 · answer #6 · answered by Behrouz 1 · 1⤊ 1⤋
Any length > 0 but < sum of the two sides; whichever is least.
2007-11-04 01:11:52 · answer #7 · answered by pereira a 3 · 0⤊ 1⤋
c^2 = a^2 + b^2
where a & b = given length of 2 sides
& c = third side (ur answer)
So answer will b square root of a^2 + b^2
2007-11-02 07:52:53 · answer #8 · answered by Prash 2 · 0⤊ 4⤋
c^2 = a^2 + b^2
c = (a^2 + b^2) ^1/2
in other words, c = the squareroot of a^2 + b^2
2007-11-02 07:21:17 · answer #9 · answered by reg 5 · 1⤊ 5⤋
No idea brian... well.. if you have the sides.. tell us the measurements...
2007-11-02 07:31:10 · answer #10 · answered by YJ 2 · 1⤊ 2⤋