 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...draw BG and CH, and prove & = 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... | |
 | William Betz - Geometry - 1916 - 536 pages
...angle opposite the side 7, terminating in this side. THEOREMS AND Locus PROBLEMS 1. The difference of the squares of two sides of a triangle is equal to the difference of the squares of the segments made by the altitude upon tKe third side. 2. The sum... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...square of hah" the third side, increased by twice the square of the median to it. II. The difference of the squares of two sides of a triangle is equal to twice the product of the third side and the projection of the median upon it. Cor. 1. If ma represents the length... | |
 | 1905 - 1094 pages
...circle, the product of the segments of one Is equal to the product of the segments of the other. 7. 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 medium upon that -side. 8. Two mutually equiangular... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...of half the third 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 of the third side and the projection of the median upon it. Given the AABC with b> a, the median... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...half the third side, increased by twice the square of the median upon it. 13. The difference between the squares of two sides of a triangle is equal to twice the product of the third side and the projection of the median upon it. 23. Numerical Relations in the... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...21 -=- I* and —21 —5- \x. We obtain = 2 (4-1 +2m2. Proposition XXIX. Theorem 224. The difference of the squares of two sides of a triangle, is equal to twice the third side multiplied by the projection of the median on that side. Hints: Take the same two equations... | |
 | College Entrance Examination Board - Mathematics - 1920 - 108 pages
...Prove that the locus of the middle points of these chords is the circle on AB as diameter. 8. a) If the sum of the squares of two sides of a triangle is equal to the square of the third side, prove that the triangle is a right triangle. b) Prove that a triangle... | |
 | Military Academy, West Point - 1934 - 964 pages
...mx'+2i>— 3mx+m -0 have equal roots? What are these roots? 2. PLANE GEOMETRY MARCH 1933 1 10 Theorem: The sum of the squares of two sides of a triangle is equal to twice tht »-> of half the third side, plus twice the square of the median drawn to the third xi 2 10 Theorem:lnthesamecircle... | |
 | United States Military Academy - 1942 - 1028 pages
...between the areas of a circumscribed equilateral triangle and an inscribed regular hexagon. 16 Prove that the sum of the squares of two sides of a triangle is equal to twice the square of half the third side, plus twice the square of the median to the third side. 10 Construct the common... | |
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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. 
