Incorrect. The relationships between the angles inside a triangle will be identical to the relationships between the lengths of the sides opposite those angles.
For example, take any scalene triangle with the corners A, B, and C. If ∠A is the widest angle, ∠B is the mid-range, and ∠C is the smallest, then B→C will be the longest side, A→C will be the mid-range side, and A→B will be the shortest side.
angle with the greatest measure
The shortest side of a triangle is opposite to the smallest interior angle.
angle
54 degrees
The sides of the triangle measure 3 feet, 4 feet, and 5 feet. 5 feet is the longest side.
In a scalene triangle, each side has a different length and each angle has a different measure. The longest side is always opposite the largest angle, while the shortest side is opposite the smallest angle. Therefore, the statement that the longest side is opposite the angle with the smallest measure is incorrect; it should be the opposite.
The angle with the smallest measure is opposite the shortest side. Similarly, the angle with the largest measure is opposite the longest side.
False
False
shortest side
angle with the greatest measure
In a triangle, the longest side is opposite the largest angle. According to the triangle inequality theorem, if one side is longer than another, the angle opposite the longer side must also be larger. Conversely, the smallest side is opposite the smallest angle. This relationship helps in determining the relative lengths of sides and measures of angles within a triangle.
angle with smallest measure - apex
false
The shortest side of a triangle is opposite to the smallest interior angle.
The longest side of a triangle is always opposite its largest angle
largest