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" RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area. "
Mensuration for Beginners: With Numerous Examples - Page 74
by Isaac Todhunter - 1869 - 296 pages
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Mensuration for pupil teachers

James Elliot - Measurement - 1879 - 118 pages
...the three Sides an given. RULE. Add together the three sides, and halve the gum. From the half sum subtract each side separately. Multiply the half sum...remainders together. The square root of the product will be the area. NOTE 1. The first part of the work may be proved, by .observing if the sum of the...
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A Practical Arithmetic for Intermediate, Grammar, and Common Schools

Edward Olney - Arithmetic - 1879 - 404 pages
...either multiplied into the other. 44o. NOTE. — If the three sides only are given, from half the gum of the three sides subtract each side separately, multiply the half sum and these remainders together, and extract the square root of the product. The pupil cannot see why this...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...sides are given. Rule. — Add the three sides together and take half the sum ; from this half sum subtract each side separately ; multiply the half sum and the three remainders together, and take the square root of the last product for the area. If the sides be denoted by a, b, c, and...
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A Practical Arithmetic for Intermediate, Grammar, and Common Schools

Edward Olney - Arithmetic - 1879 - 392 pages
...altitude, or half of either multiplied into the oiher. 446. NOTE. — If the three sides only are given, from half the sum of the three sides subtract each side separately, multiply Hie half sum and these remainders together, and extract the square root of the product. The pupil cannot...
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Graded Problems in Arithmetic and Mensuration

Samuel Mecutchen - Arithmetic - 1880 - 292 pages
...supply the deficiency with ciphers. RULES IN MENSURATI0N. SURFACES. To find the area of a triangle. FROM half the sum of the three sides, subtract each...multiply the half sum and the three remainders together, and the square root of the product will be the area required. NOTE. — When the base and altitude...
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Graded Problems in Arithmetic and Mensuration

Samuel Mecutchen - Arithmetic - 1880 - 262 pages
...supply the deficiency with ciphers. RULES IN MENSURATION. SURFACES. To find the area of a triangle. FROM half the sum of the three sides, subtract each...multiply the half sum and the three remainders together, and the square root of the product will be the area required. NOTE. — When the base and altitude...
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A Practical Arithmetic for Intermediate, Grammar, and Common Schools

Edward Olney - Arithmetic - 1880 - 236 pages
...\ / \^ A f gether, as B and A'. Then the two make 446. NOTE. — If the three sides only are given, from half the sum of the three sides subtract each side separately, multiply the half sum and these remainders together, and extract the square root of the product. The pupil cannot see why this...
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The engineers' manual of the Local marine examinations

Thomas Liddell Ainsley - 1880 - 866 pages
...The area of a triangle may, however, be determined from its three sides by the following EULE LXV. From half the sum of the three sides, subtract each side separately ; then multiply the half sum and the three remainders together, and the square root of the latí product...
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The popular educator, Volumes 5-6

Popular educator - 1880 - 926 pages
...calculation of the area of a triangle without finding its perpendicular, the three sides being given :— From half the sum of the three sides subtract each side separately. Then multiply the half sum by the three remainders successively, and the square root of the product...
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Metrical Geometry: An Elementary Treatise on Mensuration

George Bruce Halsted - Measurement - 1881 - 266 pages
...= 113-581 square meters. Ans. J b 36, Given the three sides of a triangle, to find the area. Eule : From half the sum of the three sides subtract each...remainders together : the square root of the product will be the area. Formula : A = Vs (s — a) (s — 6) (s — c]. Proof: By 4, a* = Z>* + c'-2fy-,...
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