 | Military Academy, West Point - 1934 - 964 páginas
...radii. 11 10 Theorem: In any triangle, the square of the side opposite an acute angle is erçu^ sum if the squares of the other two sides, minus twice the product of oœ nt uan<i the projection of the other side upon it. (Consider only the case in whiefc ; > of the... | |
 | United States Military Academy - 1942 - 1028 páginas
...radii. Theorem: In any triangle, the square of the side opposite an acute angle U equal '•' sum of the squares of the other two sides, minus twice the product of one of ttw • and the projection of the other side upon it. (Consider only the case in which eit'i""... | |
 | 1992 - 270 páginas
...and an angle art given. 167. Law of Cosines In any triangle, the square of any side equals the sum of the squares of the other two sides minus twice the product of these two sides times the cosine of the angle between them. Thus, a* = b* + c* — 2bc cos A b* = o* + c1 — 2ac cos... | |
 | L. Bostock, F. S. Chandler, A. Shepherd, Ewart Smith - 1996 - 470 páginas
...BC2 only when B = 90°. These results give us the converse of Pythagoras' theorem. In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, the triangle contains a right angle, and this right angle is opposite... | |
 | Haym Kruglak, John Moore, Ramon Mata-Toledo - 1998 - 508 páginas
...LAW OF COSINES The law of cosines states that the square of any triangle side is equal to the sum of the squares of the other two sides minus twice the product of these sides and the cosine of the included angle. Thus, expressed in terms of the sides and angles given... | |
 | Gerald James Holton, Stephen G. Brush - 2001 - 604 páginas
...angles for general triangles. (a) Law of cosines: The square of any one side is equal to the sum of the squares of the other two sides minus twice the product of those two, multiplied by the cosine of their included angle. For example, c2 = a2 + b2 - lab cos y.... | |
 | Richard Gentle, Peter Edwards, William Bolton - 2001 - 305 páginas
...angle C (Figure 5.1.8). The cosine rule can be stated as: the square of a side is equal to the sum of the squares of the other two sides minus twice the product of those sides multiplied by the cosine of the angle between them and so: a2 = b2 + c2 - 2bc cos A b2... | |
 | Walch Publishing - 2003 - 86 páginas
...are known. Law of Cosines: c2 = a2 + b2 - 2abcosC. In general, the square of a side equals the sum of the squares of the other two sides, minus twice the product of those two sides and the cosine of the included angle. TRY IT Practice Activities 1. (a) Solve triangle... | |
 | 108 páginas
...1 and 2, we get AB2 + AC2 = BXxBC + XCxBC = BC (BX + XC) = BCxBC = BC¿ Converse In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. Given: MBC... | |
 | Joseph Hamill, Kathleen M. Knutzen - 2006 - 486 páginas
...two unknown angles. that the square of the length of any side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the lengths of the other two sides and the cosine of the angle opposite the original side. Consider... | |
| |
In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it. 
