Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
a triangle, △abc, has angle measures of 82°, 75°, and 23° and no sides equal (congruent) in length. how would this triangle be classified?
scalene acute
equilateral right
isosceles obtuse
isosceles acute

Explanation:

• Scalene triangle: A triangle with no sides equal in length. Since the problem states no sides are congruent, it could be scalene.
• Acute triangle: A triangle where all angles are less than \(90^{\circ}\). Here, \(82^{\circ}<90^{\circ}\), \(75^{\circ}<90^{\circ}\), \(23^{\circ}<90^{\circ}\).
• Equilateral triangle: All sides and angles equal. But angles here (\(82^{\circ},75^{\circ},23^{\circ}\)) are not equal, so not equilateral. Also, no right - angle (\(90^{\circ}\)), so not equilateral right.
• Isosceles triangle: At least two sides equal. But problem says no sides equal, so not isosceles (so not isosceles obtuse or isosceles acute).

Answer:

Scalene acute