Books Books Multiply the half sum and the three remainders together, and extract the square root of the product. EXAMPLES. 1. What is the area of a triangle whose sides are respectively 30, 40, and 50 feet ? 30 + 40 + 50 = 120. Elements of Surveying: Including a Description of the Instruments and the ... - Page 82
by Charles Davies - 1837 - 249 pages ## A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 pages
...three sides of any Triangle given, to find its orea. RULE I. 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 last product will be the area of the triangle.* height gives the area of a rectangular... ## A Treatise on Mensuration for the Use of Schools

...the three sides of any Triangle given, to find its area. RULE I. 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 last product will be the area of the triangle.* RULE II. Divide the difference... ## Elements of Surveying with a Description of the Instruments and the ...

C. Davies - Surveying - 1839 - 380 pages
...1 Ans. 29«2 OR IP. THIRD METHOD. Measure the three sides of the triangle. Then, add them together and take half their sum. From this half sum subtract...together, and extract the square root of the product : the remit will be the area (Geom. Mens. Prob. II). Or, after having obtained the three remainders, add... ## Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1835 - 359 pages
...57' 1 An1. 29.3 OR IP. TH1RD METHOD. Measure the three sides of the triangle. Then, add them together and take half their sum. From this half sum subtract...together, and extract the square root of the product : the renult mill be the area (Geom. Mens. Prob. II). Or, after having obtained the three remainders, add... ## An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...severally from such half sum, by which three remainders will be obtained. Multiply such half ягпп and the three remainders together, and extract the square root of the last product, which is the area of the triangle. This rule is founded on one of the theorems in Trigonometry... ## American Common-school Arithmetic ...

Rufus Putnam - Arithmetic - 1849 - 404 pages
...this method. Or, RULE 2. Measure the three sides of the field ; add them together, and from half their sum subtract each side separately ; then multiply the half sum and the three remainders together ; the square root of this product will be the area. 10. The three sides of a triangular field measure... ## Mathematical Recreations: Containing Solutions of Many Very Difficult and ...

Horatio Nelson Robinson - Mathematics - 1851 - 96 pages
...and from said half sum take each side severally, thus obtaining three remainders. Multiply the said half sum and the three remainders together, and extract the square root of the product for the area required. I now propose to demonstrate this rule. Let ABC be the triangle : its area is... ## A Complete System of Mensuration ...

Alexander Ingram - 1851 - 204 pages
...three sides of a triangle; to find the area. RULE. Add the three sides together, and from half the sum subtract each side separately. Then multiply the half sum and the three remainders successively, and the square root of the last product will be the area. That is, if a, b, c, represent... ## Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1853 - 318 pages
...find the Area of a Triangle by the length of its sides. RULE. — From half the sum of the three sides subtract each side separately ; then multiply the half sum and the three remainders continually together, and the square root of the product will be the area. To find the Length of one... 