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" Find the product of the half sum and the three remainders. The square root of the product will be the area of the triangle. "
A Treatise on Surveying - Page 33
by Reginald Empson Middleton - 1904
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...given, find their half sum, and from this half sum subtract each of the three sides separately, and then multiply together the half sum and the three remainders ; the square root of the product will be the required area. RULE III. To fmd the area of a trapezoid. Multiply the half sum of the two parallel...
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A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - Surveying - 1885 - 444 pages
...area of a triangle, three sides being given, Fig. 63, Plate 4. sides, and multiply the half sum by the three remainders, the square root of the product will be the area. Given AB = 810 links, AC = 476 links, BC = 549 links. = 917.5 then 917.5 - 810 = 107.5 917.5 - 476...
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A Grammar School Arithmetic

George Albert Wentworth - Arithmetic - 1889 - 676 pages
...follows : From the half-sum of the sides subtract each side separately. Find the continued product of the half -sum and the three remainders. The square root of the product is equal to the area of the triangle. Ex. Find the area of a triangle having a base 16 ft. and altitude...
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Graded Work in Arithmetic, Book 9

Samuel Wesley Baird - Arithmetic - 1901 - 388 pages
...are given, from half the sum of the three sides subtract each side separately. Find the product of the half sum and the three remainders. The square root of the product will be the area of the triangle. 1. Find the area of a triangle whose sides are 6, 8, and 10 ft. OPERATION (6 + 8 +...
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Agricultural Engineering: A Text Book for Students of Secondary Schools of ...

Jay Brownlee Davidson - Agricultural engineering - 1913 - 570 pages
...by two; from Fig. i6. this half sum subtract the length of each side in turn; multiply together this half sum and the three remainders; the square root of the product equals the desired area. Thus, if a, b, and c are three sides of a triangle, , a + b+c ,, and s = ,...
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The Naval Artificer's Manual: (The Naval Artificer's Handbook Revised) Text ...

United States - 1918 - 840 pages
...^-£=area. (Fig. 6, page 51.) Or from half the sum of the three sides subtract each side separately, multiply together the half sum and the three remainders, the square root of the product is the area. This rule is indicated by the following formula : Let 4=area =11.01 + a = one side = 4"...
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