Question

Based on these segment lengths, which group of segments cannot form a triangle? a. 12, 7, 8 b. 8, 7, 13 c. 1, 2, 3 d. 80, 140, 70

Answer 1

(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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