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Question

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a triangle, △abc, has angle measures of 82°, 75°, and 23° and no sides equal (congruent) in length. how would this triangle be classified?
isosceles obtuse
scalene acute
equilateral right
isosceles acute

Explanation:

Brief Explanations
  • Scalene triangle: A triangle with all sides of different lengths. Since the problem states no sides are equal (congruent) in length, it can't be isosceles (which has at least two equal - length sides) or equilateral (which has all three sides equal).
  • Acute triangle: A triangle where all angles are less than \(90^{\circ}\). The given angles \(82^{\circ}\), \(75^{\circ}\), and \(23^{\circ}\) are all less than \(90^{\circ}\). An obtuse triangle has one angle greater than \(90^{\circ}\), and a right - triangle has one angle equal to \(90^{\circ}\).

Answer:

Scalene acute