Suppose a is one side, b is the other side, and c is the last side.
If a+b > c,
b+c > a,
c+a > b,
you can construct this traingle.
Or in simpler terms, any two side lengths'sum has to be bigger than the third.
E.G. If one side was 2, one side was 5, and the other side was 2, than
you aren't able to construct the traingle because
2+2 isn't bigger than 5.
BUT If one side was 2, the other side was 2, and the last was 3, than you could because
2+2>3, 3+2 > 2, and 2+3 > 2.
No
To determine if you can make more than one triangle with a given set of side lengths, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.
Because the sum of the shortest sides is less than the longest side and in order to construct a triangle the sum of its shortest sides must be greater than its longest side.
No. Angles don't have anything called a side length. However, one can use trigonometry to compute the angles of a triangle based on the side lengths of the triangle (triangles do have side lengths).
Because all side lengths are different, it must be a scalene triangle.
No
Yes
yes
If you mean side lengths of 5, 4 and 1 then it is not possible to construct any triangle from the given dimensions.
yes 3 --- 6| |9
Yes, it is possible.
a scalene triangle is a triangle with three differant sides
In order to construct a triangle the sum of its 2 smallest sides must be greater than its longest side.
If you mean lengths 2, 3 and 5 then the answer is no because in order to construct a triangle the sum of its 2 smallest sides must be greater than its longest side
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
If you mean 9, 7 and 16 then the answer is no because in order to construct a triangle the sum of its 2 smaller sides must be greater than its longest side
To determine if you can make more than one triangle with a given set of side lengths, you can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. If the side lengths meet this condition, you can form a triangle, but if the side lengths are the same (like in the case of an equilateral triangle), only one unique triangle can be formed. Additionally, if the angles are not specified and the side lengths allow for different arrangements, multiple triangles may be possible.