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Are two triangles that have the same side lengths always be congruent?
Yes because the definition of a congruent triangle is a triangle with EVERY side the same length
Is it possible to draw a triangle with measures 2cm 9cm and 1cm?
No. The sum of the lengths of any two sides must be greater than the length of the third.
Can you have a triangle with side lengths of 4 centimeters 8 centimeters and 13 centimeters?
No. The sum of the lengths of two sides of a triangle must always at least slightly exceed the length of the third side, and the given numbers do not conform to this rule.
In triangle XYZ the length of side XY is 24 mm and the length of side YZ is 36 mm. Which of the following could be the length of side XZ?
No lengths have been given but in general the sum of the two smaller sides of a triangle must be greater than its largest side.
The lengths of the 3 sides of a certain triangle are related as shown below where n is the length of the shortest side of the triangle. 0.5n 1.5n 2.5n Which of these name the lengths of the sides for?
The lengths of the 3 sides of a certain triangle are related as shown below, where n is the length of the shortest side of the triangle.0.5n, 1.5n, 2.5nWhich of these name the lengths of the sides for another triangle, similar to the first triangle, for any value n ≥ 1?
How can you prove that the is the sum of the lengths of any two sides of a triangle always greater than the length of the third one?
Simply measure them.
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.
When does the combination of lengths form a triangle?
Provide that no one length is greater than the sum of the other two lengths.
Can a triangle be formed with any three side lengths?
No. The sum of any two lengths must be greater than the third length.
Is it possible to have a triangle with side lengths of 4-1-10?
No because the sum of the smaller lengths must be greater than the longest length
Which of the following is the statement of the Triangle Inequality Theorem?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Can you triangle have length of 1cm 2cm and 3cm?
No, a triangle cannot have side lengths of 1 cm, 2 cm, and 3 cm because they do not satisfy the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 1 cm + 2 cm is not greater than 3 cm, so a triangle cannot be formed with these lengths.
What are the length that could be a triangle?
Any triplet provided only that any two lengths are greater than the third.
Why can't you construct a ABC triangle?
You cannot construct a triangle ABC if the lengths of the sides do not 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. For example, if the side lengths are 2, 3, and 6, then 2 + 3 is not greater than 6, making it impossible to form a triangle. Additionally, if any side length is zero or negative, a triangle cannot be formed.
Can the sum of two sides of a triangle be equal to the third side?
no it can not be eaual but it can be greater than The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
How do you find if the lengths of a shape make a triangle?
If (and only if) the length of each pair of sides is greater than the third side, then it is possible to make a triangle.
If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides of what kind of triangle?
It would be an obtuse triangle with one angle being greater than 90 degrees.
