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Yes, three angle measures always generate a unique triangle, provided that the angles sum to 180 degrees. This is based on the Angle-Angle-Angle (AAA) similarity postulate, which states that if two triangles have the same angle measures, they are similar. However, the triangles can only be considered unique in the sense of their shape; they can vary in size based on a scale factor. Therefore, while the angles determine the shape, they do not uniquely define a specific triangle in terms of size.
What else can I help you with?
Is this statement true or falseThree given side measures generate at most one unique triangle?
true
What triangle make an unique triangle?
Nothing. It is always possible to make a duplicate triangle.
How can you tell when a triangle is a unique triangle?
A triangle is unique when the given conditions (such as side lengths or angle measures) lead to only one possible triangle configuration. For example, using the Side-Side-Side (SSS) or Side-Angle-Side (SAS) postulates guarantees a unique triangle. In contrast, conditions like Angle-Angle-Side (AAS) or Angle-Side-Angle (ASA) also yield a unique triangle, while three angles alone may not, as they can correspond to multiple triangle sizes.
How many triangles exist with the given angle measures 55 45 90?
There is exactly one unique triangle that can be formed with the angle measures of 55°, 45°, and 90°. This is because the sum of the angles in any triangle must equal 180°, and these angles do so (55° + 45° + 90° = 180°). Additionally, the triangle is a right triangle due to the presence of the 90° angle.
If a triangle has no equal sides and no equal angles what is it called?
A triangle with no equal sides and no equal angles is called a scalene triangle. In a scalene triangle, all three sides are of different lengths and all three angles are of different measures. This type of triangle does not have any symmetry and each side and angle is unique.
Is this statement true or falseThree given angle measures always generate a unique triangle?
false
Is this statement true or falseThree given side measures generate at most one unique triangle?
true
What triangle make an unique triangle?
Nothing. It is always possible to make a duplicate triangle.
Is it possible to draw a unique triangle with angle measures of 35 degrees65 degreesand 100 degrees?
No because the 3 interior angles of any triangle add up to 180 degrees.
How can you tell when a triangle is a unique triangle?
A triangle is unique when the given conditions (such as side lengths or angle measures) lead to only one possible triangle configuration. For example, using the Side-Side-Side (SSS) or Side-Angle-Side (SAS) postulates guarantees a unique triangle. In contrast, conditions like Angle-Angle-Side (AAS) or Angle-Side-Angle (ASA) also yield a unique triangle, while three angles alone may not, as they can correspond to multiple triangle sizes.
How many triangles exist with the given angle measures 55 45 90?
There is exactly one unique triangle that can be formed with the angle measures of 55°, 45°, and 90°. This is because the sum of the angles in any triangle must equal 180°, and these angles do so (55° + 45° + 90° = 180°). Additionally, the triangle is a right triangle due to the presence of the 90° angle.
Can a unique triangle with measure 111960 degree be made?
No because the 3 interior angles of any triangle always add up to 180 degrees.
If a triangle has no equal sides and no equal angles what is it called?
A triangle with no equal sides and no equal angles is called a scalene triangle. In a scalene triangle, all three sides are of different lengths and all three angles are of different measures. This type of triangle does not have any symmetry and each side and angle is unique.
What is the measure of a unique triangle?
Every triangle is unique, so this question cannot have a serious answer.
How many unique triangles can be made when one angle measures 90 and deg and another angle is half that measure?
The triangle will then have 3 angles of 45, 45 and 90 degrees and take the shape of an isosceles right angle triangle.
What triangle has all corners equal?
A triangle with all corners equal is called an equilateral triangle. In an equilateral triangle, each of the three angles measures 60 degrees, and all three sides are of equal length. This symmetry gives it unique properties, such as having equal heights and medians from each vertex to the opposite side.
Is the name of the shape that has three on equal angles?
The shape with three equal angles is called an equilateral triangle. In an equilateral triangle, all three sides are also of equal length, and each angle measures 60 degrees. This symmetry gives the equilateral triangle its unique properties in geometry.
