Another question here. An example would be:
5 m and 6 m.
If you are given those two sides of a triangle, what can you conclude about the third?
Once again, theres probably a really simple answer but I have no idea.
2006-10-02 09:15:59 · 11 answers · asked by experimental_film 1 in Science & Mathematics ➔ Mathematics
You can conclude that the 3rd side will be shorter than the sum of the 2 other sides.
For the example that you gave, the 3rd side would have a length less than 11m.
2006-10-02 09:20:46 · answer #1 · answered by Chuckie 7 · 2⤊ 0⤋
You can conclude that the third side is less than 13 m. because 5+6=13. The Triangle Sides Theorem states that for any triangle, The Sum of of the first two sides will have a greater length than the third.
2006-10-02 16:20:33 · answer #2 · answered by fachizzzzle 3 · 0⤊ 0⤋
This isn't enough information. You need at least 3 bits of information to determine anything about the triangle they are part of (the lengths of two sides and the measure of the angle between them OR the length of a side with the measure of the two angles on either end of it).
2006-10-02 16:23:41 · answer #3 · answered by Wally M 4 · 0⤊ 0⤋
1) By hypothesis an angle of triangle ABC equal 90 degres
In this case we can applied Pythagora's theorem:
a^ + b^2 = c^2 with a= 5m and b = 6m
We have 5^2 + 6^2 = c^2
c^2 = 25 + 36
c^2 = 61
c = 7.81m
2)To apply ''Law of sines'' you must know 1 edge and 2 angles
or ''two edges and 1 angles''
sin( A)/ a = sin(B)/b = sin(C)/c
with A , B , C are angles
and a, b, c are edges
3) To apply ''Law of cosines'' you must know ''1 angle and 2
edges''.
a^2 = b^2 +c^2 -2bc cos(A)
With A as an angle
and a, b, c are edges
2006-10-02 16:57:41 · answer #4 · answered by frank 7 · 0⤊ 0⤋
Well, if we denote the lengths of the sides by a, b, and c then we know:
a + b > c
a + c > b
b + c > a
In your example of one side of length 5m and another of length 6m then, by applying the above inequalities, we see that the third side must be between 1m and 11m in length.
2006-10-02 16:22:11 · answer #5 · answered by AnyMouse 3 · 0⤊ 0⤋
The 3rd side is shorter than the sum of the 2 sides.
2006-10-02 16:18:54 · answer #6 · answered by Barkley Hound 7 · 3⤊ 0⤋
Nothing, unless you also know one of the angles of the triangle, and then you know all the sides and angles of the triangle.
2006-10-02 16:25:21 · answer #7 · answered by cpinatsi 7 · 0⤊ 0⤋
You need to know the angle between the sides that you have already been given.
2006-10-02 16:24:15 · answer #8 · answered by kaz1 3 · 0⤊ 0⤋
You can't conclude anything without knowing the type of the triangle
2006-10-02 16:18:24 · answer #9 · answered by daniel_cohadier 3 · 0⤊ 2⤋
well, depends on the kind of triangle, you could figure out the third sides length, tha twould be the simplest.
2006-10-02 16:17:51 · answer #10 · answered by rand a 5 · 0⤊ 2⤋