 | 458 pages
...that is, equal to 12 sq. in. PROBLEM III. To find the area of a triangle, whose three sides are given. From half the sum of the three sides subtract each side severally, then multiply the half sum and the three remainders continually together, and the square root of the... | |
 | Thomas Tate (mathematical master.) - 1848 - 284 pages
...perpendicular 25-25 ft. ? Ans. 68-736. 3. PROBLEM. To find the area of a triangle, given the three sides. RULE. From half the sum of the three sides subtract...severally ; multiply the half sum and the three remainders continually together, and the square root of the last product will be the area of the triangle. (See... | |
 | Peter Nicholson, Joseph Gwilt - 1848 - 750 pages
...PROBLEM III. PLATE 50. To find the area of a triangle whose three sides only are given. From the half sum of the three sides subtract each side severally; multiply the half sum and the three remainders together, and the square root of the product will be the area required. EXAMPLE I. Required the area... | |
 | P. O'Shaughnessy (Civil engineer) - 1848 - 110 pages
...triangle whose three sides measure 20. 41, 24. 16, and 30. 12 chains. Ans. 24* 2r OP. Second Limma to find the area of a triangle when the three sides are given. Square the sum of any two sides, take the square of the third side from it ; take the diffc. of the... | |
 | John Bonnycastle - 1848 - 320 pages
...Ans. 102.5ye. PROBLEM 111. To find the area of a triangle whose three sides only are given. RULE.* 1. From half the sum of the three sides subtract each side severally. * Demon. Let AC=iJ, AB=6, xc—c, and AD=ar/ (See preceding fig.) Then, since uii:=6 — x, we shall... | |
 | John Ainslie - 1849 - 586 pages
...and contained angle, or two angles and adjacent side of triangles, are given to find the area. 1 . To find the area of a triangle when the three sides are given. Rule. — Add the three sides, and take half the sum. From the half sum subtract each side successively,... | |
 | D. M. Knapen - 1849 - 300 pages
...is 45 rods ? Ans. 5.48 acres. When the sides of H scalene triangle are given, to find its area : — From half the sum of the three sides subtract each side severally ; then multiply together the half sum of the three sides, and the three remainders, and extract the... | |
 | Thomas Baker - 1850 - 244 pages
...adjacent angles 60° 14' and 59° 46'; required the area by logarithms. Am. 13a. 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 s their half sum, then A =: V s (s — a) (* — b) (s — c)By logarithms,... | |
 | Charles Davies - 1850 - 238 pages
...a triangle whose base is 72,7 yards, and altitude 36,5 yards ? Ans. 1326,775 sq. yds. PROBLEM III. To find the area of a triangle when the three sides are known. RULE, I. Add the three sides together and take half their sum. II. From this half sum take each... | |
 | John Radford Young - 1850 - 294 pages
...and Altitude being given 21 To find the Area of a Triangle when the Base and Altitude are known 22 To find the Area of a Triangle when the Three Sides are known 24 Knowing any Two Sides of a Right-angled Triangle, to find the Third Side 28 To find the Area... | |
| |
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. 
