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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.
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.
What are the measures of a triangle that is similar with side triangle that are proportional to this triangle by a factor of 5?
If two triangles are similar, their corresponding side lengths are in proportion by a constant factor. In this case, if the sides of the original triangle are represented as ( a ), ( b ), and ( c ), then the sides of the similar triangle would be ( 5a ), ( 5b ), and ( 5c ). Therefore, the measures of the angles in both triangles remain the same, while the side lengths of the similar triangle are five times larger than those of the original triangle.
Why do some lengths not form a triangle?
Some lengths do not form a triangle due to 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 for any combination of the sides, the lengths cannot create a closed figure, resulting in no triangle. For example, if one side is longer than the sum of the other two, the sides will not connect to form a triangle.
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.
Could 4 7 7 be side lengths of a triangle?
Yes and the given lengths would form an isosceles triangle.
Which set of side lengths cannot form a triangle?
1.5m
What is the area of a triangle with the side lengths of 2 12 and 18?
These dimensions do not form a triangle.
What are the measures of a triangle that is similar with side triangle that are proportional to this triangle by a factor of 5?
If two triangles are similar, their corresponding side lengths are in proportion by a constant factor. In this case, if the sides of the original triangle are represented as ( a ), ( b ), and ( c ), then the sides of the similar triangle would be ( 5a ), ( 5b ), and ( 5c ). Therefore, the measures of the angles in both triangles remain the same, while the side lengths of the similar triangle are five times larger than those of the original triangle.
How do you classify a triangle with 3 given side lengths?
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
What does geometrically similar mean?
When two shapes have proportionally equivalent lengths and angles, they are geometrically similar. For example, take a triangle with sides of length 3, 4, and 5. Another triangle with side lengths 6, 8, and 10 would be geometrically similar to it because its angles are the same and its side lengths are proportional.
Why do some lengths not form a triangle?
Some lengths do not form a triangle due to 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 for any combination of the sides, the lengths cannot create a closed figure, resulting in no triangle. For example, if one side is longer than the sum of the other two, the sides will not connect to form a triangle.
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 :)
Can a triangle be formed with side lengths of 2 3 and 6?
No. With the given side lengths the sum of the two shorter sides do not exceed the length of the longest side and would not meet to form a triangle
Is it possible to build a triangle with side lengths of 3 3 and 9.?
No, it is not possible to build a triangle with side lengths of 3, 3, and 9. According to the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 3 + 3 is not greater than 9, so these side lengths cannot form a triangle.
Is it possible to form a triangle with side lengths of 6 5 and 8?
Yes.
