 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...the square of half the third side plus twice the square of the median upon this side2. 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 line upon it. -B EDC Appl. Prove 1. AC* + AB... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...theorems may be included in one theorem. Let the student explain. PROPOSITION XXXI. THEOREM. 377. 1. TJie 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. 2. The difference of the squares... | |
 | 1899 - 972 pages
...Queitiong. Unie Teachcri. C» Paper«. 8. In any triangle the sum of the squares on two of Ha sides is equal to twice the square of half the base together with twice the square of the line joining the vertical angle with the middle point of the base. Prove this. 9. Construct a triangle,... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...of~ half the third side increased by twice the square of the median upon that side. 2. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the projection of the median upon that side. D In the triangle ABC, let... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...as the projections of the chords on the diameter drawn from the same point. Ex. 275. The difference of the squares of two sides of a triangle is equal to the difference of the squares of the segments of the third side, made by the perpendicular on the third... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...as the projections of the chords on the diameter drawn from the same point. Ex. 275. The difference of the squares of two sides of a triangle is equal to the difference of the squares of the segments of the third side, made by the perpendicular on the third... | |
 | George Bruce Halsted - Geometry - 1904 - 322 pages
...sides of a triangle numerical expressions in terms of a unit, compute the three altitudes. Ex. 293. 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. [a2 +c2 — J62 = 2»««'J.... | |
 | George Bruce Halsted - Geometry - 1904 - 313 pages
...by twice the square of the median upon that side. [a 2 +c 2 -i6 2 = 2w* 2 ]. Ex. 294. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the sect from the foot of that side's altitude to the foot of its median... | |
 | George Bruce Halsted - Geometry - 1904 - 324 pages
...increased by twice the square of the median upon that side. [a2+c2-i6' = 2W42J. Ex. 294. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the sect from the foot of that side's altitude to the [ft2 ^2-1 j = —... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...of half the third side increased by twice the square of the median upon that side. 2. The difference of the squares of two sides of a triangle is equal to twice the product of the third side by the projection of the median upon that side. In the triangle ABC, let... | |
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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. 
