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" From half the sum of the three sides subtract each side ; multiply the half sum and the three remainders together, and the square root of the product will be the area required. "
Graded Problems in Arithmetic and Mensuration - Page 109
by Samuel Mecutchen - 1880 - 232 pages
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...Ans. 12 A. 20 P. PROBLEM IX. 622. To find the area of a TRIANGLE, the three sides being given. side ; multiply the half sum and the three remainders together,...square root of the product will be the area required. For, let ABC be a triangle whose three sides, AB, BC, AC, are given, but not the altitude CD, and let...
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Elements of Geometry and Trigonometry;: With Practical Applications

Benjamin Greenleaf - Geometry - 1863 - 502 pages
...Ans. 12 A. 20 P. PROBLEM IX. 622. To find the area of a TRIANGLE, the three sides being given. side ; multiply the half sum and the three remainders together, and the square root of the product ivill be the area required. For, let AB C be a triangle whose three C sides, AB, BC, AC, are given,...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1863 - 600 pages
...three sides subtract each side severally. Multiply the half sum and the three remainders continually together, and the square root of the product will be the area required Required the area of the triangle ABC, whose three sides BC, CA, and AB are 24, 36, and 48 chains respectively....
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Gas Superintendent's Pocket Companion for the Year 1866

Harris & Brother (Philadelphia) - 1866 - 110 pages
...X by one-half the perpendicular height. 3. TRIANGLE — Area from three sides given. From the half sum of the three sides subtract each side separately...and the square root of the product will be the area. 4. TRAPEZOID — the sum of the two parallel sides X by half the perpendicular height. 5. CIRCLE =...
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The Builder's Pocket Companion: Containing the Elements of Building ...

A. C. Smeaton - Building - 1867 - 314 pages
...sides. RULE. Add the three sides together, and from half the sum subtract each side separately ; then multiply the half sum and the three remainders together,...square root of the product will be the area required. Let the sides of a triangle be 30, 40, and 50 feet, respectively, what will be the area ? 30 + 40 +...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...derive the following RULES. from half the sum of the three sides ml/tract each side separately ; then multiply the half sum and the three remainders together, and the square root of their continued product will b« the area of the triangle. Or, RULE n. Add together the logarithms...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...Ans. 12 A. 20 P. PROBLEM IX. 622. To find the area of a TRIANGLE, the three sides being given. side ; multiply the half sum and the three remainders together,...square root of the product will be the area required. For, let ABC be a triangle whose three sides, AB, BC, AC, are given, but not the altitude CD, and let...
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Explanatory mensuration for the use of schools

Alfred Hiley - 1871 - 184 pages
...the height, and divide the product by 2. (2) To find the area, when the three sides are given. Prom half the sum of the three sides, subtract each side...remainders together, and the square root of the product is the area. THE TRIANGLE. Kg. 3. sion are given. — (a) Divide double the area by the base, and the...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...the altitude. If the three sides are given, from half the sum of the three sides subtract each side ; multiply the half sum and the three remainders together,...square root of the product will be the area required. 1. Required the area of the triangle ABC, whose base, BC, is 210, and altitude, AD, is 190 feet. 210...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...altitude. If the three sides are given, from, half the sum of the three sides subtract each side ; multiply the half sum and the three remainders together,...square root of the product will be the area required. 1. Required the area of the triangle ABC, whose base, BC, is 210, and altitude, AD, is 190 feet. 210...
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