FTCE General Knowledge Math Practice Test

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Which type of triangle has exactly three acute angles?

Obtuse Triangle
Right Triangle
Acute Triangle
Scalene Triangle

The correct answer is: Acute Triangle

An acute triangle is defined as a triangle in which all three interior angles are less than 90 degrees, making them acute angles. This characteristic directly answers the question regarding which type of triangle possesses exactly three acute angles. The other triangle types mentioned have specific angle characteristics that do not align with having all acute angles. For instance, an obtuse triangle contains one angle that is greater than 90 degrees. A right triangle includes one angle that is exactly 90 degrees. A scalene triangle refers to the sides of the triangle being of different lengths, but it can be acute, obtuse, or right; its side length properties do not necessarily dictate the type of angles within the triangle. Hence, the designation of having three acute angles is exclusive to acute triangles.