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.
true
Nothing. It is always possible to make a duplicate triangle.
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.
Every triangle is unique, so this question cannot have a serious answer.
The triangle will then have 3 angles of 45, 45 and 90 degrees and take the shape of an isosceles right angle triangle.
false
true
Nothing. It is always possible to make a duplicate triangle.
No because the 3 interior angles of any triangle add up to 180 degrees.
No because the 3 interior angles of any triangle always add up to 180 degrees.
Every triangle is unique, so this question cannot have a serious answer.
The triangle will then have 3 angles of 45, 45 and 90 degrees and take the shape of an isosceles right angle triangle.
A quadrantal triangle is a type of triangle in which one of its angles measures exactly 90 degrees, while the other two angles are each 45 degrees. This specific configuration results in an isosceles right triangle, where the two legs are of equal length, and the hypotenuse is the longest side. Quadrantal triangles are often used in trigonometry and geometry due to their unique properties and relationships between their angles and side lengths.
It is a rigid 2-dimensional shape.
Three non-collinear points do not determine a unique spherical triangle.
It will be in the form of an isosceles right angle triangle when it has a 90 and two 45 degree angles
From the given dimensions no kind of triangle is possible.