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 Llibres Llibres 1 - 9 de 9 sobre Hence, the area of a triangle is equal to one-half the product of any two sides '.... Hence, the area of a triangle is equal to one-half the product of any two sides ' and the sine of their contained angle. EXAMPLES. 1. Find the area of the triangle in which two sides are 31 ft. and 23 ft. and their contained angle 67° 30'. Plane Trigonometry - Pàgina 34
1906 - 188 pàgines
Visualització completa - Sobre aquest llibre ## Applications of Plane and Spherical Trigonometry

Eugene Lamb Richards - 1880 - 295 pàgines
...produced. CD = b sin. A. ((1) Art. 30), (Art. 46). Area = \$cxCD (Ch. 5, IV.), = \$ bo sin. A. Therefore, the area of a triangle is equal to one-half the product of any two adjacent sides multiplied by the sine of the included angle. Suppose c and the angles A and B are given....
Visualització completa - Sobre aquest llibre ## Plane Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - 1899
...= £ bo sin (180 — A). -i* ; It will be seen in Art. 45, that sin (180 — A) = sin A. Hence, the area of a triangle is equal to one-half the product of any two sides and the sine of their contained angle. EXAMPLES. 1. Find the area of the triangle in which two sides are 31 ft. and 23 ft....
Visualització completa - Sobre aquest llibre ## Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

...= f sin A. The substitution of this value of h in the formula in Art. 26 gives , , , S = a be sin A In words, the area of a triangle is equal to one-half...chains, respectively, and their included angle is 65° 10* 40". To find the contents of the field, in acres. SOLUTION.— By the formula, 5 (square chains)...
Visualització completa - Sobre aquest llibre ## Plane Trigonometry

1906
...= \AB- DC; = \ be aw (180 -A). It will be seen in Art. 45, that sin (180 — A) = sin A. Hence, the area of a triangle is equal to one-half the product of any two sides and the sine of their contained angle. EXAMPLES. 1. Find the area of the triaugle in which two sides are 31 ft. and 23 ft....
Visualització completa - Sobre aquest llibre ## Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - 1908
...• DC-, = \bc sin (180 — A). It will be seen in Art. 45, that sin (180 — A) = sin A. Hence, the area of a triangle is equal to one-half the product of any two sides ' and the sine of their contained angle. EXAMPLES. 1. Find the area of the triangle in which two sides are 31 ft. and 23 ft....
Visualització completa - Sobre aquest llibre ## A Manual of Practical Mathematics

Frank Castle - 1908 - 594 pàgines
...height. As any side may be considered as the base of a triangle, the rule may be stated thus : the area of a triangle is equal to one-half the product of any side of a triangle and the length of the perpendicular let fall on that side from the opposite angle....
Visualització completa - Sobre aquest llibre ## Trigonometry

Alfred Monroe Kenyon, Louis Ingold - 1913 - 132 pàgines
...have p = b sin A, and A. = (1/2)pc = (1/2) be sin A, ie the area of a triangle is equal to one half the product of any two sides and the sine of their included angle. (2) Given two angles A, C, and their included side b. Solve the triangle by Case I to find B and one...
Visualització completa - Sobre aquest llibre ## Mathematics for Collegiate Students of Agriculture and General Science

Alfred Monroe Kenyon, William Vernon Lovitt - 1917 - 357 pàgines
...p = b sin A Fia. 59 and (48) Area = I be sin A, whence, the area of a triangle is equal to one half the product of any two sides and the sine of their included angle. If the three sides are given, a formula for the area can be deduced from (48) as follows. From (26),...
Visualització completa - Sobre aquest llibre ## Elements of Plane Trigonometry

Alfred Monroe Kenyon, Louis Ingold - 1919 - 117 pàgines
...one of the given sides, as p upon b, then p = a sin C and by (1) A = £ b (a sin C) ; whence (2) The area of a triangle is equal to one-half the product of any two sides into the sine of their included angle. 53. Area from Three Sides. If A the three sides are given, draw...
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