Reid Phillips
04/24/2024 · Senior High School
\( 82^{\circ}, 75^{\circ} \), and \( 23^{\circ} \) and no sides equal (congruent) in length. How would this triangle be classified
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To classify a triangle based on its angles, we can use the following criteria:
1. Acute Triangle: All angles are less than \( 90^{\circ} \).
2. Right Triangle: One angle is exactly \( 90^{\circ} \).
3. Obtuse Triangle: One angle is greater than \( 90^{\circ} \).
Given the angles \( 82^{\circ}, 75^{\circ} \), and \( 23^{\circ} \), none of the angles are \( 90^{\circ} \), so it is not a right triangle. Additionally, all the angles are less than \( 90^{\circ} \), so it is not an obtuse triangle.
Therefore, the triangle with angles \( 82^{\circ}, 75^{\circ} \), and \( 23^{\circ} \) is an acute triangle.
Quick Answer
The triangle is an acute triangle.
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