 In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.  Schultze and Sevenoak's Plane and Solid Geometry - Page 193by Arthur Schultze, Frank Louis Sevenoak - 1913 - 457 pagesFull view - About this book
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...opposite an acute angle of a triangle is equal to the sum of the squares of the other two sides minus twice the product of one of these sides and the projection of the other upon it. om Outline of Proof : In either figure let ZB be the given acute angle, and in each case BD... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...opposite an obtuse angle of a triangle is equal to the sum of the squares of the other two sides plus twice the product of one of these sides and the projection of the other upon it. c A ° BD Outline of Proof : Let ZB be the given obtuse angle and BD the projection of BC... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...triangle the square on the side opposite the obtuse angle is equivalent to the sum of the squares on the other two sides increased by twice the product of one of those sides liy the projection of the other upon that side. Given the obtuse triangle ABC, A being... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...455. In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice...sides and the projection of the other side upon it. D ARGUMENT REASONS 1. in rt. A BAD, of =AI? + 2J1? 1. §446. 2. But Ib 2 = b^-p' 2. §447. 3. And DB... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it 190 THEOREM XLIX 196. In any obtuse-angled triangle, the square of the side opposite the obtuse angle... | |
 | Geometry, Plane - 1911 - 192 pages
...an obtuse-angled triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of these sides by the projection of the other side upon it. 6. The sides of a right triangle are 10 inches and 5 inches.... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...455. In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice...sides and the projection of the other side upon it. (t " MGlven ABAX with ZX obtuse, and p, the projection of 6 upon a. To prove 3? = a? + V + 2 ap, 1.... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...421. In any obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other iipon it. Given, in the triangle ABC, that p is the projection... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...421. In any obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides increased by twice the product of one of those sides and the projection of the other upon it. Given, in the triangle ABC, that p is the projection... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...333. In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice...side upon it. Given in A abc, p the projection of b upon c, and the angle opposite a obtuse. To prove a 2 = ft 2 + c 2 + 2 cp. Proof. a 2 = A 2 + (c... | |
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