 If two sides of a triangle are unequal, the angles opposite these sides are unequal, with the greater angle opposite the greater side.  Plane Geometry - Page 41by Edith Long, William Charles Brenke - 1916 - 276 pagesFull view - About this book
 | College Entrance Examination Board - Universities and colleges - 1921 - 128 pages
...converse of the following proposition, and prove one of these propositions without using the other: If two sides of a triangle are unequal, the angles opposite these sides are unequal, and the greater angle is opposite the greater side. 5. Given a circle with center 0. The chord AB is produced... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
....'.AB = AC. 96. Corollary 1 . If a triangle is equiangular, it is also equilateral. 97. Corollary 2. If two sides of a triangle are unequal, the angles opposite these sides are unequal. SUGGESTION. Use a proof similar to the proof of Corollary I, Theorem III. Notice the relation that... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...AD to these unequals ? 8. How many degrees are there in each PROPOSITION XXI. THEOREM 113. If tivo sides of a triangle are unequal, the angles opposite these sides are unequal, and the angle opposite the greater side is the greater. A .B-~ Given the triangle ABC, with BC greater than... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...of the definition, axiom, or theorem should be given by the student. PLANE GEOMETRY. 84. THEOREM. If two sides of a .triangle are unequal, the angles opposite these sides are unequal, the greater angle being opposite the greater side. Given AABC in which AC>BC. To prove that Z ABC >... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...of the definition, axiom, or theorem should be given by the student. PLANE GEOMETRY. 84. THEOREM. If two sides of a triangle are unequal, the angles opposite these sides are unequal, the greater angle being opposite the greater side. Given A ABC in which AC>BC. To prove that Z ABC... | |
 | David Eugene Smith - Geometry - 1911 - 360 pages
.../.RXC>/.ACX. .-. /.BXO /.XCB. .-. CB > XB. Similarly, AC> AX. Adding, AC + CB > AB. J ± ^ THEOREM. If two sides of a triangle are unequal, the angles opposite these sides are unequal, and the angle opposite the greater side is the greater. Euclid stated this more briefly by saying, "In any... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...ft., and 12 ft.? Of 3 ft., 8 ft., and 10 ft.? Use the dividers in the construction. 119. TIIEOBEM. // two sides of a triangle are unequal, the angles opposite these sides are uncdual and the angle opposite the greater side is the greater. Given A ABC with AB > AC. To Prove... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...degrees are there in each angle of an equiangular triangle ? Prove it. PROPOSITION XXI. THEOREM 113. If two sides of a triangle are unequal, the angles opposite these sides are unequal, and the angle opposite the greater side is the greater. AB Given the triangle ABC, with EC greater than CA.... | |
 | George Clinton Shutts - Geometry - 1913 - 494 pages
...ft., and 12 ft.? Of 3 ft., 8 ft., and 10 ft.? Use the dividers in the construction. 119. THEOREM. // two sides of a triangle are unequal, the angles opposite these sides are unequal and the angle opposite the greater side is the greater. Given A ABC with AB > AC. To Prove ZC > Z B. Proof.... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...adding AD to these unequals ? 8. How many degrees are there in each PROPOSITION XXI. THEOREM 113. If two sides of a triangle are unequal, the angles opposite these sides are unequal, and the angle opposite the greater side is the greater. AB Given the triangle ABC., with BC greater than CA.... | |
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