True
largest
opposite
across from, or opposite to
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.
To determine which angle measure in a triangle is the largest, you can use the property that the largest angle is opposite the longest side. If the lengths of the sides are known, simply compare them; the side with the greatest length corresponds to the largest angle. Alternatively, if the angles are given, the largest value directly indicates the largest angle measure.
angle with the greatest measure
opposite
largest
The longest side of a triangle is always opposite its largest angle
true
across from, or opposite to
That is true.
No, this statement is not correct. The side opposite the largest angle is the longest side of a triangle only if the triangle is obtuse. In acute triangles, the side opposite the largest angle is the longest side, and in right triangles, the side opposite the right angle (90 degrees) is the longest side.
Yes it is true.
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.
shortest side