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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/02%3A_Math_Review/2.03%3A_TrianglesOur Theorem \PageIndex{1}, which states that the sum of the angles of a triangle is 180^{\circ}, is one of the most important consequences of the parallel postulate, Therefore, one way of test...Our Theorem \PageIndex{1}, which states that the sum of the angles of a triangle is 180^{\circ}, is one of the most important consequences of the parallel postulate, Therefore, one way of testing the truth of the parallel postulate (see the Historical Note in Section 1.4) is to test the truth of Theorem \PageIndex{1}, This was actually tried by the German mathematician, astronomer, and physicist, Karl Friedrich Gauss (1777 - 1855). (This is the same Gauss whose name is used as a uni…
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/02%3A_Math_Review/2.03%3A_TrianglesOur Theorem \PageIndex{1}, which states that the sum of the angles of a triangle is 180^{\circ}, is one of the most important consequences of the parallel postulate, Therefore, one way of test...Our Theorem \PageIndex{1}, which states that the sum of the angles of a triangle is 180^{\circ}, is one of the most important consequences of the parallel postulate, Therefore, one way of testing the truth of the parallel postulate (see the Historical Note in Section 1.4) is to test the truth of Theorem \PageIndex{1}, This was actually tried by the German mathematician, astronomer, and physicist, Karl Friedrich Gauss (1777 - 1855). (This is the same Gauss whose name is used as a uni…
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/02%3A_Vectors_and_Math_Review_Topics/2.07%3A_Math_Review_of_Other_Topics/2.7.03%3A_TrianglesThe sum of the measures of the three interior angles of a triangle is always 180°. This fact can be applied to find the measure of the third angle of a triangle, if you are given the other two. If a a...The sum of the measures of the three interior angles of a triangle is always 180°. This fact can be applied to find the measure of the third angle of a triangle, if you are given the other two. If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
