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
You cannot construct a triangle ABC if the lengths of the sides do not satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. For example, if the side lengths are 2, 3, and 6, then 2 + 3 is not greater than 6, making it impossible to form a triangle. Additionally, if any side length is zero or negative, a triangle cannot be formed.
No, you cannot construct a triangle with side lengths 2 yd, 9 yd, and 10 yd. This is because the sum of the lengths of the two shorter sides (2 yd + 9 yd = 11 yd) must be greater than the length of the longest side (10 yd) to satisfy the triangle inequality theorem. Since 11 yd is greater than 10 yd, these lengths do not form a triangle.
Yes, it is possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm. To determine this, we 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 third side. In this case, 6 + 11 > 13, 6 + 13 > 11, and 11 + 13 > 6, all hold true, confirming that these lengths can form a triangle.
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.
No
If you mean side lengths of 5, 4 and 1 then it is not possible to construct any triangle from the given dimensions.
yes
Yes
yes 3 --- 6| |9
Yes, it is possible.
a scalene triangle is a triangle with three differant sides
You cannot construct a triangle ABC if the lengths of the sides do not satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. For example, if the side lengths are 2, 3, and 6, then 2 + 3 is not greater than 6, making it impossible to form a triangle. Additionally, if any side length is zero or negative, a triangle cannot be formed.
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.
Yes, it is possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm. To determine this, we 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 third side. In this case, 6 + 11 > 13, 6 + 13 > 11, and 11 + 13 > 6, all hold true, confirming that these lengths can form a triangle.