| Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...added to the other the triangle will be isosceles. What is the length of each of the two sides? 14. Two triangles have two sides of one equal respectively to two sides of the other, but the included angle of one 12 degrees more than twice the corresponding angle of the other. If 25 degrees... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...equal to an 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...so that ZACD>DCB, then AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other,...the first greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of... | |
| Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...parallel lines 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... | |
| United States. Office of Education - 1921 - 232 pages
...regarding 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... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...DC'>AC'.) UNEQUAL PARTS IN TWO TRIANGLES 140. THEOREM XII. If in two triangles two sides of one are equal respectively to two sides of the other, but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than... | |
| Herbert Ellsworth Slaught - 1918 - 344 pages
...DC'> AC'.) UNEQUAL PARTS IN TWO TRIANGLES 140. THEOREM XII. If in two triangles two sides of one are equal respectively to two sides of the other, but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than... | |
| 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... | |
| 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... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...supplementary, their exterior sides lie in the same straight line. 33. If in two triangles two sides of one are equal respectively to two sides of the other, but the third side of the first is greater than the third side of the second, then the included angle of the first is greater than... | |
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