| Stoddard A. Felter - 1868 - 360 pages
...8 ft. X 2 = 16 sq. ft. Fig. 24. Prob. Hi — The sides of a triangle being given to find the area. Rule. — From half the sum of the three sides subtract each side separately, then multiply the continued product of these remainders by half the sum of the sides, and... | |
| Isaac Todhunter - 1869 - 312 pages
...base, the quotient is the height. 152. The three sides of a triangle being given, to find the area. 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... | |
| Anthony Nesbit - 1870 - 578 pages
...or ^RR 15.30103 J ' -""-""~",l, Log. 4.332 . 0.63664 4 1.328 .J0 ARP 13.120 Ans. 4 1 13 PROBLEM HI. To find the area of a triangle when the three sides are given. From the half sum of the three sides subtract each side separately, add together the logarithms of... | |
| Richard Wormell - 1870 - 304 pages
...— Square the sides ; the area required is to the area given as the squares of the like sides. 13. To find the area of a triangle when the three sides are given, — Subtract each side separately from half the sum of the sides : multiply together the three remainders... | |
| Hoy D. Orton - 1871 - 202 pages
...it makes the corner a true right-angle. To find the area of any triangle when the three tides only are given. RULE. — From half the sum of the three sides subtract each side severally; multiply these three remainders and the said half sum continually together ; 'hen the square root of the last... | |
| Adrien Marie Legendre - 1871 - 490 pages
...log sin $A = £ [log ($s — b) + log (£« — c) + (ac) log b + (a, c.) log c]. (3.) Third Case. To find the area of a triangle, when the three sides are given. Let ABC represent a triangle B whose sides a, b, and c are given. From the principle demonstrated in... | |
| Charles Davies - 1872 - 464 pages
...have, log sin $A = $ [log (}« — b) + log (J* — c) + (ac) log b + (ac) log c]. (3.) Third Case. To find the area of a triangle, when the •three sides are given. Let AJBC represent a triangle whose sides a, b, and c are given. From the principle demonstrated in... | |
| Hugo Reid - 1872 - 148 pages
...feet, the altitude 153 feet. Ans. — 1 acre, 0 roods, 23 sq. poles, 6£ sq. yards. Problem 9. 343. To find the area of a triangle, when the three sides are known. Rule. — Add the three sides ; from the half sum subtract each side separately ; the area will... | |
| David Munn - 1873 - 160 pages
...and two triangles are to each other as the products of their bases by their altitudes. PROP. IV. — To find the area of a triangle, -when the three sides are given. In the triangle ABC, let BC = a, AC = b, AB = c. It is required to find the area. Let / denote the-... | |
| Aaron Schuyler - 1864 - 506 pages
...respectively, and their included angle is 85° 40" 20" ; what is the area. Ans. 428470. 102. Problem. To find the area of a triangle when the three sides are given. By the last problem we find (1) k = \ be sin A, (2) sin A = 2 sin \ A cos \ A. Article 95, (5). (3)... | |
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