 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 Elements of Plane Geometry - Page 45by Charles Austin Hobbs - 1899 - 240 pagesFull view - About this book
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...3, page 23, using §§ 73 und 77a. 2. Restate 8 76a. PROPOSITION XIII. THEOREM. 78. If two trianyles have two sides of one equal respectively to two sides of the oiJier, but the included angle of the first greater than the included angle of the second, then the... | |
 | Mathematics - 1898 - 228 pages
...radius of a circle is 10 iuches; find the area of a segment whose arc is 60°. SEPTEMBER 1901. PLANE. 1. If two triangles have two sides of one equal respectively...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. State and prove the... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...are cut by a third so as to make the alternate interior angles equal, the two lines are parallel. 2. If two triangles have two sides of one equal respectively...to two sides of the other, but the included angle ot the first greater than the included angle of the second, the third side of the first is greater... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...for GH its equal CH, we have BH+CH>BG, or BC>EF. PBOP. XXIX. THEOREM. 92. (Converse of Prop. XXVIII.) 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 included angle of the first... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...hypotenuse and compare its area with the rectangle whose sides are the two legs of the right A242. If two triangles have two sides of one equal respectively to two sides of the other and the included angles supplementary, how are the areas related ? 243. The side of an equilateral... | |
 | Henry W. Keigwin - Geometry - 1898 - 250 pages
...I. Restate ex. 3, page 23, using §§ 73 and 77a. 2. Restate § 76a. PROPOSITION XIII. THEOEEM. 78. If two triangles have two sides of one equal respectively to two sides of the other, hut the included angle of the first greater than the included angle of the second, then the a Y> Fio.... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...altitude of an equilateral triangle is 3 ; find its area. 20. Two triangles are equivalent if they * have two sides of one equal respectively to two sides of the other, and the included angles supplementary. „ AD 21. One diagonal of a rhombus is five-thirds of the other,... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...(Ax. 4) Substituting for GH its equal CH, we have PROP. XXIX. THEOREM. 92. (Converse of Prop. XXVIII.) 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 included angle of the first... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...side and the base produced. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the 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 first is greater... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...produced. BOOK I. PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the 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 first is greater... | |
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