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Question

Solution Steps

1. Understand the question

   multiple-choice question
   how can you classify a triangle based on its angles?
   by looking for some acute angles
   by looking at all 3 angles. two angles will always be acute, but the third angle will either be acute, right or obtuse.

2. Brief Explanations

   To classify a triangle by its angles, we rely on the largest angle: all angles acute (acute triangle), one right angle (right triangle), one obtuse angle (obtuse triangle). Since the sum of triangle angles is 180°, there will always be at least two acute angles, so we must check the third (largest) angle to determine the classification. The first option is insufficient because all triangles have at least two acute angles, so this does not uniquely classify the triangle.

3. Final answer

   By looking at all 3 angles. Two angles will always be acute, but the THIRD ANGLE will either be acute, right or obtuse.

Answer

Question Analysis

OCR Text

multiple-choice question
how can you classify a triangle based on its angles?
by looking for some acute angles
by looking at all 3 angles. two angles will always be acute, but the third angle will either be acute, right or obtuse.

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