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Why do some lengths form a triangle and some don't?
The ability for three lengths to form a triangle is determined by 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. If this condition is not met, the lengths cannot connect to form a closed shape, resulting in an invalid triangle. For example, lengths of 3, 4, and 5 can form a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Conversely, lengths like 2, 2, and 5 cannot form a triangle because 2 + 2 is not greater than 5.
Could 4 7 7 be side lengths of a triangle?
Yes and the given lengths would form an isosceles triangle.
What is the area of a triangle with the side lengths of 2 12 and 18?
These dimensions do not form a triangle.
Can the segment lengths 9 4 15 form a triangle?
No.
Can you form a triangle with lengths of 8 8 and 1?
Yes.
Why do some lengths form a triangle and some don't?
The ability for three lengths to form a triangle is determined by 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. If this condition is not met, the lengths cannot connect to form a closed shape, resulting in an invalid triangle. For example, lengths of 3, 4, and 5 can form a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Conversely, lengths like 2, 2, and 5 cannot form a triangle because 2 + 2 is not greater than 5.
Could 4 7 7 be side lengths of a triangle?
Yes and the given lengths would form an isosceles triangle.
What is the area of a triangle with the side lengths of 2 12 and 18?
These dimensions do not form a triangle.
Is it possible to form a triangle with the lengths of 1 8 and 8?
Sure! It will be an isosceles triangle.
Can the segment lengths 9 4 15 form a triangle?
No.
Can you form a triangle with lengths of 8 8 and 1?
Yes.
Which set of side lengths cannot form a triangle?
1.5m
Can the lengths 7 and 1 and 7 form a triangle?
Yes and it will be in the form of an isosceles triangle having two equal sides.
Can the following side lengths form a triangle 3 8 3?
Yes, an isosceles triangle with two size lengths of 3 and one of 8 :)
When do three side lengths measures form a triangle?
Three side lengths can form a triangle if they satisfy 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. This must hold true for all three combinations of the side lengths. For example, if the side lengths are (a), (b), and (c), then (a + b > c), (a + c > b), and (b + c > a) must all be true. If any of these conditions are not met, the side lengths cannot form a triangle.
How do you find which triangle if you know the lengths of the sides of a triangle whether it is isosceles or equilateral or scalene?
You look at the lengths of the sided of the triangle. If the two lengths are same, the triangle is an isosceles triangle. If all the lengths are same, the triangle is an equilateral triangle. If none of the lengths are same, the triangle is a scalene triangle.
When does the combination of lengths form a triangle?
Provide that no one length is greater than the sum of the other two lengths.
