The triangle with side lengths of 3 cm, 4 cm, and 6 cm is a scalene triangle, as all three sides have different lengths. To determine if it forms a valid triangle, we can apply 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, 3 + 4 > 6, 3 + 6 > 4, and 4 + 6 > 3 are all satisfied, confirming that these sides can indeed form a triangle.
A triangle with side lengths of 3 cm, 4 cm, and 6 cm is called a scalene triangle because all its sides are of different lengths. Additionally, it is classified as an obtuse triangle since one of its angles is greater than 90 degrees. The triangle inequality theorem confirms that these side lengths can form a triangle, as the sum of the lengths of any two sides is greater than the length of the third side.
No, a triangle cannot have side lengths of 1 cm, 2 cm, and 3 cm because they do not satisfy the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 1 cm + 2 cm is not greater than 3 cm, so a triangle cannot be formed with these lengths.
Given that the perimeter of the triangle is 90 centimeters, we can determine the actual side lengths by multiplying the ratio by a common factor. The total ratio value is 5 + 12 + 13 = 30. To find the actual side lengths, we divide the perimeter by this total ratio value: 90 / 30 = 3. Therefore, the side lengths of the triangle are 5 x 3 = 15 cm, 12 x 3 = 36 cm, and 13 x 3 = 39 cm.
It is a scalene triangle with 3 sides of different lengths
No, it is not possible to build a triangle with side lengths of 3, 3, and 9. According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 3 + 3 is not greater than 9, so these side lengths cannot form a triangle.
A triangle with side lengths of 3 cm, 4 cm, and 6 cm is called a scalene triangle because all its sides are of different lengths. Additionally, it is classified as an obtuse triangle since one of its angles is greater than 90 degrees. The triangle inequality theorem confirms that these side lengths can form a triangle, as the sum of the lengths of any two sides is greater than the length of the third side.
No, a triangle cannot have side lengths of 1 cm, 2 cm, and 3 cm because they do not satisfy the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 1 cm + 2 cm is not greater than 3 cm, so a triangle cannot be formed with these lengths.
Given that the perimeter of the triangle is 90 centimeters, we can determine the actual side lengths by multiplying the ratio by a common factor. The total ratio value is 5 + 12 + 13 = 30. To find the actual side lengths, we divide the perimeter by this total ratio value: 90 / 30 = 3. Therefore, the side lengths of the triangle are 5 x 3 = 15 cm, 12 x 3 = 36 cm, and 13 x 3 = 39 cm.
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. When you're dealing with the Pythagorean theory, a 3,4,5 triangle is a special triangle. For example, if a triangle has side lengths of 3cm and 4cm, then you automatically know that the other side length is 5cm. It also works if the side lengths are 5cm and 4cm or 5cm and 3cm.
It is a scalene triangle with 3 sides of different lengths
No, it is not possible to build a triangle with side lengths of 3, 3, and 9. According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 3 + 3 is not greater than 9, so these side lengths cannot form a triangle.
If its a right angle triangle then its side lengths could be 3, 4 and 5
In an equilateral triangle, all sides are of equal length. So sum of three equal sides is 42 cm. Therefore, each side is 42/3 = 14 cm.
Because all side lengths are different, it must be a scalene triangle.
yes
Yes, an isosceles triangle with two size lengths of 3 and one of 8 :)