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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. The same holds true for an obtuse triangle, since it has an obtuse angle (measuring more than 90 degrees) that makes the sum of its two other angles be less than 90 degrees. No triangle has only one acute angle, or it wouldn't be a triangle.