 In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.  Elements of Plane and Solid Geometry - Page 202by Alan Sanders - 1903 - 384 pagesFull view - About this book
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...as follows: In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice...sides and the projection of the other side upon it. Ex. 726. If the sides of a triangle are 7, 8, and 10, is the angle opposite 10 obtuse, right, or acute... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...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. A Given A BAX with ZX obtuse, and p, the projection of b upon a. To prove a? = of + b2 + 2 op. 1. 2.... | |
 | 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... | |
 | David Eugene Smith - Geometry - 1911 - 358 pages
...squares. 1 THEOREM. In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides by the projection of the other upon that side. THEOREM. A similar statement for the obtuse... | |
 | Geometry, Plane - 1911 - 192 pages
...4. Prove that in any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side. Show very briefly how to construct a triangle... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...as follows : In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice...sides and the projection of the other side upon it. Ex. 726. If the sides of a triangle are 7, "8, and 10, is the angle opposite 10 obtuse, right, or acute... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...THEOREM 420. In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon it. FIG. 1 FIG. 2 Given, in the triangle ABC, that... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...THEOREM 420. In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon it. FIG. 1 FIG. 2 Given, in the triangle ABC, that... | |
 | Arkansas Education Association - Education - 1912 - 270 pages
...theorem, "In any oblique triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, diminished by twice the product of one of those two sides and the projection of the other one on that one." When we come to this theorem we know... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...XXXVI. THEOREM 331. In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other side upon it. Given in A abc, p the projection of b upon... | |
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