 If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.  The Essentials of Geometry (plane) - Page 39by Webster Wells - 1898 - 242 pagesFull view - About this book
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...included angles ACB and DFE are both acute, and prove the theorem. 148. Theorem. — If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the angles opposite these sides... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...146. The sum of any two sides of a triangle is greater than the third side. § 148. If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the angles opposite these sides... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...altitude. SUGGESTION. — Draw MN II AB through P. Seek to apply Ex. 41 to the figure. 43. If two triangles have two sides of one equal respectively to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal... | |
 | Trinity College (Dublin, Ireland) - 1917 - 560 pages
...triangle whose sides are 6, 7, and 9 units. Theoretical. 4. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the one greater than the included angle of the other, prove that the third side of the one... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...are cut by a transversal, the alternate exterior angles are equal. § 258. Theorem. If two triangles have two sides of one equal respectively to two sides of the other but the included angle of the first triangle greater than the included angle of the second, then the third side of the... | |
 | United States. Office of Education - 1921 - 232 pages
...inequalities, the functional character of the information is even more pronounced. Thus, if two triangles have two sides of one equal respectively to two sides of the other, but if the included angle between those sides in the one triangle is greater than the corresponding angle... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...ZA =40°. • Place the triangle ABC on Fig. 2 so that AC coincides with GK. Triangles ABC and GHK have two sides of one equal respectively to two sides of the other. Are these two triangles equal? Place the triangle ABC on Fig. 3 so that AC coincides with DF. Triangles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...practical problems, p. 289, No. 21.] PROPOSITION XXXI. THEOREM 132. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...with the other figures. 15. Two rectangles are congruent under certain of the following cases : (1) Two sides of one equal respectively to two sides of the other ; (2) Four sides of one equal respectively to four sides of the other ; (3) Two adjacent sides of one... | |
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