yes
Yes, because 11 + 15 > 21, 11 + 21 > 15, and 15 + 21 > 11
7
No because the sum of the 2 smallest sides of a triangle must be greater than its longest side.
The sum of the 2 smallest sides of a triangle must be greater than the length of its longest side
5.66
a scalene triangle is a triangle with three differant sides
Yes, because 11 + 15 > 21, 11 + 21 > 15, and 15 + 21 > 11
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.
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.
7
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.
The sum of the 2 shorter sides must be greater than the longest side to form a triangle
No because the sum of the 2 smallest sides of a triangle must be greater than its longest side.
To determine if the side lengths 13 cm, 10 cm, and 22 cm can form a triangle, 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. Here, 13 cm + 10 cm = 23 cm, which is greater than 22 cm, but 10 cm + 22 cm = 32 cm (greater than 13 cm), and 13 cm + 22 cm = 35 cm (greater than 10 cm). However, since the sum of the two shorter sides (13 cm and 10 cm) exceeds the longest side (22 cm), these lengths can indeed form a triangle.
27.713 cm2
Yes, if we consider 41 cm is the approximation of 40.608 cm.
No. The '6' and '4' sides would flop down and lie exactly on top of the '10' side.The whole thing would look like a line segment that's 10 cm long.