(D) 80°, 140°, and 70° group of segments cannot form a triangle.
What is a triangle?
- A triangle is a three-edged polygon with three vertices.
- It is a fundamental shape in geometry.
- Triangle ABC represents a triangle with vertices A, B, and C.
- In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.
- In other words, the triangle is contained in just one plane, and every triangle is contained in some plane.
- There is just one plane and all triangles are enclosed in it if the entire geometry is merely the Euclidean plane; but, in higher-dimensional Euclidean spaces, this is no longer true.
To find which group of segments cannot form a triangle:
- 80°, 140°, and 70° cannot form a triangle because the sum of the three angles is 290°, whereas the sum of the angles in a triangle is 180°.
Therefore, (D) 80°, 140°, and 70° group of segments cannot form a triangle.
Know more about triangles here:
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