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" To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately. Multiply the half sum and the three remainders together, and extract the square root of the product. "
Elementary text book for young surveyors and levellers - Page 23
by Henry James Castle - 1856 - 185 pages
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A treatise on arithmetic. [With] Key, Volume 1

James Thomson - 1880 - 408 pages
...7 inches, and its perpendicular 17 feet 10 inches, what is its area? Answ. 192 f. 5' 5". RULE III. To find the area of a triangle, when the three sides are given: (1.) Add the sides together, and take half the sum : (2.) From the half sum take the three sides severally...
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The System of Calculating Diameter, Circumference, Area, and Squaring the ...

James Morton - Circle-squaring - 1881 - 236 pages
...scale of 8 inches. A quarter-sector of any circle is equal in area to a circle of half its diameter. To Find the Area of a Triangle when the Three Sides are given. — First. Add the three sides together, and take half their sum. Second. From this half sum subtract...
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Pupil-teachers' Mensuration Questions. ...

W T. Lawrence - 1882 - 76 pages
...To find the area of a triangle when the perpendicular and base are given. Base x perpendicular _ 2. To find the area of a triangle when the three sides are given. S = semiperimeter, or half the sum of all the eides. a, b, and с = the -a) (s-Ъ) (jc)=area. 3. To...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...log sin iA = i [log (is — b) + log (is — rj + 1a. c.) log b + (ac) logo]. • (B.) Third Case. To find the area of a triangle when the three sides are given. Let ABC represent a triangle whose sides a, b, and c are given. From the principle demonstrated in...
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Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - Arithmetic - 1888 - 484 pages
...triangle whose hase is 18 ft. 4 in., and height 11 ft. 10 in. Ans. 108 sq. ft. 68 sq. in. CASE II. 247. To find the area of a triangle when the three sides are given. 1. The sides of a triangle are, respectively, 25, 39, and 40 yd. ; what is the area ? OPERATION. 25...
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The Crittenden Commercial Arithmetic and Business Manual ...

John Groesbeck - 1891 - 426 pages
...at one end, and tapers to a point. Find the value at 4^ cents per square foot. Ans. 63 cents. 447. To find the Area of a Triangle when the Three Sides are given. Rule. — From half the sum of the three sides subtract each side separately. Multiply the half sum and the...
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A Rudimentary Treatise on Land and Engineering Surveying: For Students and ...

Thomas Baker - Railroads - 1891 - 262 pages
...adjacent angles 60° 14' and 59° 46'; -required the area by logarithms. Am. 17 a. Ir. I2p PROBLEM III, To find the area of a triangle when the three sides are given. Let a, b and c be the sides, and * their half sum, then A = •/ * (* — o) (* — b) (s — c). By...
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Mensuration

William Shaffer Hall - Measurement - 1893 - 88 pages
...and applying logarithms, the equation becomes, log 2 8 = log b -f log « -\- log sin A — 10. § 21. To find the area of a triangle when the three sides are given. [13] RULE : Find half the sum of the three sides, and subtract from it each side separately. Then find...
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New Common School Question Book: Comprising Questions and Answers on All ...

Asa Hollister Craig - Examinations - 1897 - 538 pages
...mensuration ? 199. Vh.it is magnitude? 202. How the area of a rhombus ? Trapezium? Triangle? 203. How do you find the area of a triangle when the three sides are given ? 204. How find the circumference of a circle when the diameter is given ? How find the diameter ?...
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Commercial Arithmetic

Oscar F. Williams - Arithmetic - 1894 - 332 pages
...area of a triangle, the base and hight being given. RULE. — Multiply the base by one-half the hight. To find the area of a triangle, when the three sides are given. RULE. — Find one-half of the sum of the three sides; from this subtract each side separately; multiply...
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