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What set of lengths could not be the lengths of the sides of a triangle?
If any of its 2 sides is not greater than its third in length then a triangle can't be formed.
Could 10.7cm 3.2cm and 5.5cm be the side lengths of a triangle?
Yes
Could a triangle with side lengths 6 meters 8 meters and 10 meters be a right triangle?
Yes.
Which sides of lengths below could form a triangle?
To see if three lengths can be made into a triangle:Add together the two shorter lengths;if this sum is greater than the remaining length, then a triangle can be made;otherwise the sum is less than or equal to the remaining length and a triangle cannot be made.examples:3, 4, 53 + 4 = 7 > 5 ⇒ is a triangle 5, 5, 85 + 5 = 10 > 8 ⇒ is a triangle 12, 30, 1812 + 18 = 30 ≤ 30 ⇒ is not a triangle 12, 35, 1812 + 18 = 30 ≤ 35 ⇒ is not a triangle
Why is triangle stronger than a rectangle?
Given unchanging lengths of the sides, a triangle cannot change its shape. But given unchanging lengths of the sides of a rectangle, it can change its shape by some force by changing its angle measurements. If a 2d load were put on a rectangle, enough force could squish the rectangle into a parallelogram, whereas a triangle cannot change shape without changing the lengths of its sides or bending its sides out of shape (most likely into a curve).Given these properties, a rectangle can collapse its shape much more easily and is flimsy compared to a triangle.
