Solution:Step 1.Step 2.Step 3.Draw a base line equal to one of the sides.Mark the ends of lines A and B.Set the compass equal to the second side (l”in the above) and swing an arc from A.Set the compass equal to the third side (11/2" in this case) and swing an arc.Conclusion:The intersection of these two arcs will be the vertex Cand will complete triangle ABC.2. A triangle maybe constructed if two sides andthe included angle (angle between the sides) areknown.Problem:To construct a triangle with two sides and the includedangle known.Given:TWO sides 1 1/2" and 2 1/4" and the included angle.Solution:Step 1.Step 2.Step 3.Draw the base equal to one side.Construct an angle equal to the given angle.Measure the second side on the side of theangle and connect the ends of the givensides BC.Conclusion:Triangle ABC has been constructed with two sides andthe included angle given.3. A triangle maybe constructed if two angles andthe included side are given.Problem:Construct a triangle.Given:ZA, Z B and line AB 2 1/8" long.Solution:Step 1. Draw line AB.Step 2. At point A, transfer angle A.Step 3. At point B, transfer angle B.Step 4. Where sides of ~ A and ~ B intersect, markpoint C.Conclusion:Triangle ABC has been constructed with two angles andthe included side given.4. A right triangle may be constructed if the twosides adjacent to the right angle are known.Problem:Construct a right mangle whose sides adjacent to theright angle are 1 1/2" and l".Solution:Step 1.Step 2.Step 3.Draw AB 1 1/2" long.At A, erect a perpendicular to AB.Locate point C 1" from AB and completethe triangle.AII-10