 | 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 - 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...the median AK is drawn forming an acute angle AKB. Which is the greater, AB or AC? Theorem 43 151. If two triangles have two sides of one equal respectively to two sides of the other and the third side of the first greater than the third side of the second, the included angle of the... | |
 | Marie Gugle - Mathematics - 1920 - 264 pages
...relative lengths of the sides. Describe each kind. 5. Give the formula for the area of a triangle. 6. Two triangles have two sides of one equal respectively to two sides of the other. In the first triangle these sides form an angle of 90°, and in the second an angle of 60°. Which... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...Theorem 43 151. If two triangles have two sides of one equal respectively to two sides of the other and the third side of the first greater than the third side of the second, the included angle of the first is greater than the included angle of the second. G Given the triangles... | |
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... if two triangles have two sides of one equal, respectively, to two sides of the other... 
