An impossible triangle, also known as a "trick" or "impossible" triangle, is a triangle that cannot be physically constructed because its sides or angles violate the rules of Euclidean geometry.
In the given responses, the triangles with impossible angles are:
- 8m, 1m, 8m: This triangle violates the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
- 30, 70, 80: This triangle also violates the triangle inequality theorem.
- 90, 40, 40: This triangle violates the triangle angle sum theorem, which states that the sum of the angles in a triangle must always be 180 degrees. In this case, the sum of the angles is 170 degrees, which is less than 180 degrees.
The triangle with side lengths 10cm, 12cm, 22cm does not violate any of the rules of Euclidean geometry, so it is a possible triangle.
which angles ARE impossible triangles
responses
8m, 1m, 8m
30, 70, 80
90, 40, 40
10cm, 12cm, 22cm
1 answer
1 answer