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What is the triangle
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 lengths of the diagonals work out as 12 cm and 16 cm
Five
The side lengths of the cube are each 3 cm.
What is the triangle
There is no integer solution, but the shape is a rectangle, with side lengths between 2 and 10 (area 20 cm sq) and 3 and 9 (area 27 cm sq). The exact side lengths are 6 - 2 (sq rt 3) [= 2.5359] and 6 + 2 (sq rt 3) [= 9.4641].
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.
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.
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).