 The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.  Plane and Solid Geometry - Page 131by Seth Thayer Stewart - 1891 - 406 pagesFull view - About this book
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...cos (180° — C). PROPOSITION XXII. THEOREM 422. In any triangle the sum of the squares of two sides is equal to twice the square of half the third side, increased by twice the square of the median on that side. c Given the triangle ABC in which m is the median to the side c. To prove that a2 + i2... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...cos (180° — C). PROPOSITION XXII. THEOREM 422. In any triangle the sum of the squares of two sides is equal to twice the square of half the third side, increased by twice the square of the median on that side. Given the triangle ABC in which m is the median to the side c. To prove that a2 + 62... | |
 | Alexander Ziwet, Louis Allen Hopkins - Geometry, Analytic - 1913 - 396 pages
...four times the square of the line segment joining the midpoints of the diagonals. 19. The difference of the squares of any two sides of a triangle is equal to the difference of the squares of their projections on the third side. 20. The vertices (TI, j/i), (x2,... | |
 | William Betz - Geometry - 1916 - 536 pages
...that c2 = a2 + ft2 + 2 06 cos (180° — C). 422. In any triangle the sum of the squares of two sides is equal to twice the square of half the third side, increased by twice the square of the median on that side. a Given the triangle ABC in which m is the median to the side c. To prove that '-(I)'... | |
 | Alexander Ziwet, Louis Allen Hopkins - Geometry, Analytic - 1916 - 306 pages
...four times the square of the line segment joining the midpoints of the diagonals. 17. The difference of the squares of any two sides of a triangle is equal to the difference of the squares of their projections on the third side. CHAPTER II THE STRAIGHT LINE... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...& = DH FIG. 381 Why? (D (2) (3) (4) SECOND-YEAR MATHEMATICS 463. Theorem: The sum of the squares of two sides of a triangle is equal to twice the square of one-half of the third side increased by twice the square of the median to the third side.* Given AABC... | |
 | United States. Congress. House. Committee on Military Affairs - 1917 - 156 pages
...No. 6. — (a) Theorem: In any triangle the sum of the squares of the two sides is equal (Wt. 10.) to twice the square of half the third side, increased by twice the square of the median on that side. No. 7. — (a) Exercise: If the chord of an arc is 720 meters and the chord of its half... | |
 | John Wesley Young, Frank Millett Morgan - Functions - 1917 - 586 pages
...non-parallel sides of a trapezoid is equal to half the sum of the parallel sides. 11. The difference of the squares of any two sides of a triangle is equal to the difference of the squares of their projections on the third side. 12. Prove that the sum of the... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...product of one of those sides by the projection of the other upon it. 39c. I. The sum of the squares of two sides of a triangle is equal to twice the square of hah" the third side, increased by twice the square of the median to it. II. The difference of the squares... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...g 192 §§235,236 198 Proposition 20. Squares of Two Sides 236. Theorem. The sum of the squares of two sides of a triangle is equal to twice the square...side, increased by twice the square of the median upon it. The difference between the squares of two sides of a triangle is equal to twice the product... | |
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