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To determine if the segments 4, 3, and 6 can form a triangle, we can use 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. Checking the combinations: (4 + 3 = 7 > 6), (4 + 6 = 10 > 3), and (3 + 6 = 9 > 4). Since all conditions are satisfied, the segments can indeed form a triangle.
What else can I help you with?
Is it true that the segments 4 3 and 6 could form a triangle?
Yes.
Could the segments 9 4 11 form a triangle?
Yes because the sum of its 2 smaller sides is greater than its longest side.
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.
Can 4 and 3 and 6 form a triangle?
Yes, two sides of the triangle have to add up to more than the third side
A right scalene triangle?
Any triangle whose sides form a Pythagorean triple, eg 3-4-5 or 5-12-13
Is it true that the segments 4 3 and 6 could form a triangle?
Yes.
Could the segments 9 4 15 form a triangle?
Yes.
Can segments with the length of 9 and 4 and 15 form a triangle?
No. The sum of any two sides of a triangle MUST be greater than the third side. 9 + 4 is 13 which is not greater than 15.
Could the segments 9 4 11 form a triangle?
Yes because the sum of its 2 smaller sides is greater than its longest side.
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.
Is it possible to form a triangle with the given side length 3 4 8?
Sum of any two sides of a triangle is greater than third side. 3 + 4 = 7 < 8, but 7 is less than 8. So, it is not possible to form triangle with sides of length 3, 4 and 7 units.
Could the segments 9 4 and 11 form a triangle?
Yes, the sum of any two sides is always greater than the third side: 9 + 4 > 11 4 + 11 > 9 11 + 9 > 4
Can 4 and 3 and 6 form a triangle?
Yes, two sides of the triangle have to add up to more than the third side
How many 3 centimeter segments are in 12 centimeters?
There are four segments. 3 centimeters multiplied by 4 is 12 centimeters.
A right scalene triangle?
Any triangle whose sides form a Pythagorean triple, eg 3-4-5 or 5-12-13
Compare the number of line segments that form the edges of a pentagon withteh number line segments that form a rectangle write a comparison ststement?
5 > 4
How many three-fourth inch segments are in 3 inches?
There are: 3 divided by 3/4 = 4
