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.
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.
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.
It could be 1 cm by 81 cm, 3 cm by 27 cm, 9 cm by 9 cm, 27 cm by 3 cm, or 81 cm by 1 cm.
A square has 4 sides of equal length The perimeter is the sum of the lengths of the four sides each side has length 3 cm 3+3+3+3 = 12 cm perimeter
The side lengths of the cube are each 3 cm.
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 could be 1 cm by 81 cm, 3 cm by 27 cm, 9 cm by 9 cm, 27 cm by 3 cm, or 81 cm by 1 cm.
Oh, what a happy little question! Yes, it is possible to build a triangle with sides of 3 cm, 4 cm, and 5 cm. This special triangle is called a right triangle, and it follows the Pythagorean theorem where the square of the longest side (5 cm) is equal to the sum of the squares of the other two sides (3 cm and 4 cm). So go ahead and paint that lovely triangle with confidence!
A quadrilateral with only the lengths of three sides given is not uniquely specified and so the question has no answer.
A square has 4 sides of equal length The perimeter is the sum of the lengths of the four sides each side has length 3 cm 3+3+3+3 = 12 cm perimeter
The lengths of the diagonals work out as 12 cm and 16 cm
Five
1m = 100 cm so 3m = 300 cm300 cm/60 cm = 5 lengths.
The surface area of the pyramid is superfluous to calculating the slant height as the slant height is the height of the triangular side of the pyramid which can be worked out using Pythagoras on the side lengths of the equilateral triangle: side² = height² + (½side)² → height² = side² - ¼side² → height² = (1 - ¼)side² → height² = ¾side² → height = (√3)/2 side → slant height = (√3)/2 × 9cm = 4.5 × √3 cm ≈ 7.8 cm. ---------------------------- However, the surface area can be used as a check: 140.4 cm² ÷ (½ × 9 cm × 7.8 cm) = 140.4 cm² ÷ 35.1 cm² = 4 So the pyramid comprises 4 equilateral triangles - one for the base and 3 for the sides; it is a tetrahedron.
You can find relative lengths (compared to each other), but not absolute ones (what they actually are).
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.