False
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.
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.
false
largest
opposite
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
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.
false
angle with smallest measure - apex
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
opposite
largest