 | Charles Davies - 1872 - 464 σελίδες
...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 σελίδες
...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... | |
 | Benjamin Greenleaf - 1873 - 202 σελίδες
...and altitude are given, multiply the base by half the altitude, or half the base by 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, and the square root of the product will... | |
 | Aaron Schuyler - 1864 - 506 σελίδες
...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)... | |
 | David Munn - 1873 - 160 σελίδες
...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-... | |
 | Benjamin Greenleaf - 1874 - 206 σελίδες
...and altitude are given, multiply the base by half the altitude, or half the base by 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, and the square root of the product will... | |
 | Aaron Schuyler - 1875 - 284 σελίδες
...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)... | |
 | Edwin Pliny Seaver, George Augustus Walton - 1878 - 360 σελίδες
...Rule. To find the area of a triangle : Multiply the base by the height, and divide the product by 2. To find the area of a triangle when the three sides are given : Find half the sum of the three sides; from this subtract each side separately; multiply together... | |
 | Alfred Hiley - 1879 - 228 σελίδες
...height are given. Multiply the base by the height, and divide the product by 2. (2) To find the area, when the three sides are given. From half the sum of the three sides, subtract each side separately. Multiply the half sum and the three remainders together, and the square root of the product... | |
 | William Frothingham Bradbury - 1882 - 416 σελίδες
...is 18 ft. and the altitude 14 ft. ; what is the area? 463. To find tlie area of a triangle when only the three sides are given, From half the sum of the three sides subtract successively the three sides ; find the square root of the product of these three remainders and, the... | |
| |
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. 
