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" C = —; • abc 2 abc 12. From the Law of Cosines prove that the square on the side opposite an acute angle of a triangle is equal to the sum of the squares on the other two sides minus twice the product of either side and the projection of the other... "
Plane Trigonometry - Page 117
by George Wentworth, David Eugene Smith - 1914 - 292 pages
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 pages
...contain a given angle. 3. In any triangle the square of a side opposite an acute angle equals the sum of the squares on the other two sides minus twice the product of one of these sides by the projection of the other upon it. 4. The length of a tangent to a circle,...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...THEOREM XI 406. In any triangle, the square on the side opposite an acute angle is equal to the sum of the squares on the other two sides minus twice the product of one of these sides and the projection of the oiher sule upon it. AA Given : A ABC, an acute ZC, and...
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Plane and Spherical Trigonometry

George Wentworth, David Eugene Smith - Trigonometry - 1915 - 388 pages
...Cosines prove that the square on the side opposite an acute angle of a triangle is equal to the sum of the squares on the other two sides minus twice the...40', find the two diagonals. 15. In the parallelogram A1U'1J, given AB = 7iu., ЛC = 10iu., and ¿ВАC = 36° 7', find the side BC and the diagonal BD....
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...side. Theorem XI. In any triangle the square on the side opposite an acute angle is equal to the sum of the squares on the other two sides, minus twice the product of one of these sides by the projection of the other side upon it. 1. Of what subject matter does Chapter...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...side. Theorem XI. In any triangle the square on the side opposite an acute angle is equal to the sum of the squares on the other two sides, minus twice the product of one of these sides by the projection of the other side upon it. 1. Of what subject matter does Chapter...
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