Question

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 acute isosceles obtuse

Explanation:

1. First, analyze the side - length classification: A triangle with no equal - length sides is a scalene triangle. An isosceles triangle has at least two equal - length sides, and an equilateral triangle has three equal - length sides. Since the given triangle has no congruent sides, it cannot be isosceles or equilateral.
2. Then, analyze the angle - based classification: An acute triangle has all angles less than \(90^{\circ}\). The angles of the triangle are \(82^{\circ}\), \(75^{\circ}\), and \(23^{\circ}\), and all of these angles are less than \(90^{\circ}\). A right triangle has one \(90^{\circ}\) angle, and an obtuse triangle has one angle greater than \(90^{\circ}\). Since all angles are acute and the triangle is scalene (no equal sides), the triangle is a scalene acute triangle.

Answer:

Scalene acute