true
angle with smallest measure - apex
shortest
False
True. In any triangle, the longest side is always opposite the largest angle; the shortest side is always opposite the shortest angle; and the middle length side is always opposite the middle size angle. In an isosceles triangle, there is no middle length side; and the two sides of equal length are opposite the angles of equal size. In an equilateral triangle, all sides are the same length, as are all the angles.
The longest side of a triangle is always opposite its largest angle
The shortest side of a triangle is opposite to the smallest interior angle.
angle with smallest measure - apex
shortest
angle
shortest side
Yes.
The angle with the smallest measure is opposite the shortest side. Similarly, the angle with the largest measure is opposite 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.
Yes It's true for all triangles, not just scalene ones.
In any triangle, the shortest side is across from the smallest angle. This relationship holds true due to the triangle inequality theorem, which states that the length of a side is directly related to the measure of its opposite angle. Therefore, as the angles increase in size, the lengths of the sides opposite them also increase.
In a triangle, the sum of the angles is always 180 degrees. This is known as the angle sum property of triangles. Additionally, the largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.
False