...150°. Theorem 9 330. In any triangle the square of the side opposite an acute angle equals the sum of the squares of the other two sides minus twice the product of one of these sides by the projection of the other side upon it. Fio. 1 FIG. 2 Given the triangle ABC,...

...bc sin A sin sin C Law of Cosines.—In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their included angle. That is: 44. 46. cos A = 46. cos /.' 47. cos...

...line upon a line? 339. The square of the side opposite an acute angle of a triangle equals the sum of the squares of the other two sides minus twice the product of one of those sides and the projection of the other upon it. 340. The square of the side opposite an...

...other two sides. AREAS 466. Theorem. In any triangle the square of any 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. Given the triangle ABC. To prove that c2 = a2 + J2...

...sin 20° 0.342 " Law of Cosines. — In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides into the cosine of their included angle. That is: 34. a2 = 62 + c2 - 26c cos A (See...

...of the opposite angles. Law of Cosines. The square of the side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides times the cosine of the included angle. (When applying the law of cosines remember that the cosine...

...two sides. 2. 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. 3. In an obtuse triangle the square...

...proposition. (9) The square of a side opposite an acute angle of a triangle 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 one upon it. (10) The square of a side opposite...

...constructions. 2. 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 ui>on it. 3. The areas of two similar triangles...

...be obtained from the trigonometric relation : The square of one side of a triangle equals the sum of the squares of the other two sides minus twice the product of those sides times the cosine of the angle included between them. PROBLEM 94. Check the answer of Problem 89 by...