 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.  Elements of Geometry: Plane geometry - Page 148by Andrew Wheeler Phillips, Irving Fisher - 1896Full view - About this book
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...projections of 6 and c upon a. 168 NUMERICAL PROPERTIES PROPOSITION XXIX. THEOREM 374 In an 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... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...Ex. If AC = 28 and BC = 45, find AB. Ex. If AC = 21 and AB = 29, find BC. 345. THEOREM. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides plus twice the product of one of these two sides and the projection... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...Ex. If AC = 28 and BC = 45, find AB. Ex. If AC = 21 and AB = 29, find BC. 345. THEOREM. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides plus twice the product of one of these two sides and the projection... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...THEOREM. In an obtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides plus twice the product of one of these two sides and the projection of the other side upon that one. Given: Obtuse A ABC; etc. To Prove: c2=... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...triangle having an obtuse angle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, plus twice the product of one of these sides OMd the projection of the other side upon it. Draw A AB C having an obtuse angle at (7; draw AD ±... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...Then, AB1 = BC2 + AC2 - 2 BC x CD. PROP. XXIV. THEOREM 256. In any triangle having an obtuse angle, the square of the side opposite the obtuse angle 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... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...Then, Zfi2 = BC2 + AC2 - 2 BC X CD. PROP. XXIV. THEOREM 256. In any triangle having an obtuse angle, the square of the side opposite the obtuse angle 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... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...AB2 = AC2 + BC2 - 2 BC X DC. (Why ?) THEOREM XII 407. In any obtuse-angled triangle, the square on the side opposite the obtuse angle is equal to the sum, of the squares on the other two sides plus twice the product of one of these sides and the projection of the... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...twice the product of one of these sides and the projection of the other upon that side. 10. In any 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 and the projection... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...triangle is equal to the square of the hypotenuse minus the square of the other leg. 345. In an cbtuse triangle the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides plus twice the product of one of these two sides and the projection... | |
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