...ANGLE 375. THEOREM. The square of the 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 upon it. c Outline of proof. In either figure let...

...Theorem. In any triangle, the square of a side opposite an acute angle is equivalent 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. § 382. Theorem. An angle of a triangle...

...Theorem. In any triangle, the square of a side opposite an acute angle is equivalent 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. FIG. 2 Given the triangle ABC, having...

...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,...

...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...

...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...

...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...