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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 can have 3 acute angles, but only one obtuse angle. Acute angles are angles that are less than 90Â°. Since the three angles in a triangle add up to 180Â°, every triangle needs to have at least 2 acute angles (since 2Ã90=180 and a triangle has 3 angles). Examples on Acute Angle.