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. Plane and Solid Geometry - Page 169by Claude Irwin Palmer, Daniel Pomeroy Taylor - 1918 - 436 pagesFull view - About this book
| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...side opposite the obtuse angle is equal to the sum of the squares on the other tioo sides increased by **twice the product of one of those sides and the projection of the other** upon it. Given the obtuse A ABC A iii which C is the obtuse angle. Let a, ft, c be the sides opposite... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...opposite the acute angle is equal to the sum of the squares on the other two sides diminished by tivice **the product of one of those sides and the projection of the other** upon it. 138 Fio. 139 Given the A ABC in which C is an acute angle. Let a, b, c be the sides opposite... | |
| Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...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. Theorem 2. In any obtuse triangle, the square of the side opposite the obtuse angle... | |
| Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...theorem 14. V THEOREM 16 The square of the side opposite the obtuse angle of a triangle equals the sum of **the squares of the other two sides plus twice the product of one of** the two and the projection of the other upon it. Express algebraically the value of the projection... | |
| Herbert Ellsworth Slaught - Logarithms - 1914 - 400 pages
...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. Theorem 2. In any obtuse triangle, the square of the side opposite the obtuse angle... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...In any obtuse triangle, the square of the side opposite the obtuse angle is equivalent to the sum of **the- squares of the other two sides, plus twice the...the projections of a and c, respectively, upon AC.** To prove <?=a?+b2+2bd Proof. AD = b+d Then AD2 = W+2bd+d2. Why? Adding 7i2 to both members of this... | |
| College Entrance Examination Board - Mathematics - 1915 - 72 pages
...(a) 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, plus twice the product of one of** the sides by the projection of the other upon it. (6) In the triangle whose sides are 5, 18, 20, compute... | |
| Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...336. 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. ^s^ a/ t,\ Given : Obtuse A ABC... | |
| Wallace Alvin Wilson, Joshua Irving Tracey - Geometry, Analytic - 1915 - 236 pages
...side opposite an acute angle is equal to the sum of the squares of the other two sides decreased by **twice the product of one of those sides and the projection of the other** upon it ; (6) the sum of the squares of two sides is equal to twice the square of one half the third... | |
| Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 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 and the projection of the other side upon it. A Hypothesis. In A ABC, ZC is an obtuse Z.... | |
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