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Question
what type of special triangle is this? 45° - 45° - 90° 30° - 60° - 90° equilateral equiangular
Step1: Analyze the triangle's properties
The triangle has a right - angle (90°) and two equal sides (marked by the tick marks). In a triangle, if two sides are equal, the angles opposite those sides are equal.
Step2: Calculate the non - right angles
Since the sum of angles in a triangle is 180°, and one angle is 90°, the sum of the other two angles is \(180 - 90=90\)°. Because the two non - right angles are equal (due to the equal sides), each non - right angle is \(\frac{90}{2} = 45\)°.
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\(45^{\circ}-45^{\circ}-90^{\circ}\)