No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
In a 30-60-90 triangle, the lengths of the sides follow a specific ratio: the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is ( \sqrt{3} ) times the length of the shorter side. For example, if the hypotenuse is 2, the side lengths could be 1 (opposite the 30-degree angle) and ( \sqrt{3} ) (opposite the 60-degree angle). Therefore, a valid set of side lengths could be 1, ( \sqrt{3} ), and 2.
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.
To form a triangle, the lengths of its sides must 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, the sets of numbers (3, 4, 5), (5, 7, 10), and (6, 8, 10) can all form triangles. In each case, the sum of the lengths of any two sides is greater than the length of the third side.
There are many lengths that can be used to make triangles. Basically take the longest side, add the two shorter sides together, it can be a triangle as long as the 2 shorter sides added together are longer than the longest side.
If any of its 2 sides is not greater than its third in length then a triangle can't be formed.
1.5m
No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
They are Pythagorean triples
Those ones, there!
Infinitely many. The smallest side of a triangle can have infinitely many possible lengths.
3, 4 and 5 units of length
11, 4, 8
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.
It is a trapezoid that has one set of opposite parallel lines of different lengths.
Plug the side lengths into the Pythagorean theorem in place of a and b. If a2 + b2 = c2, it's a right triangle. C needs to be an integer, so c2 will be a perfect square.
There cannot be an integral set of values. The lengths need to be in the ratio 1 : sqrt(3) : 2.