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How to Construct an Acute Triangle. To construct an acute triangle, simple first construct an angle that is less than 90 degrees and greater than 0 degrees. This will create two sides of your triangle. Then cnstruct a third line intersecting your first two, and you have an acute triangle.
A triangle must be either acute, right, or obtuse. It also has three interior angles that always total 180 degrees. Because a right triangle has a right angle (exactly 90 degrees), the sum of its two remaining angles must be 90 degrees. These two angles are therefore inferred to be acute.