 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...of a triangle is equal to one-half the product nf its base and altitude. § 307 is, when restated : The area of a trapezoid is equal to the product of its mid-parallel and altitude. [trapezoid = a . —-—I I . . b+b'\ This use of the phrases " the product... | |
 | Mathematics - 1898 - 228 pages
...equal to the perpendicular let fall from the vertex of one of the equal angles to the opposite side. 3. The area of a trapezoid is equal to the product of its altitude by half the sum of its parallel sides. 4. Construct a square equivalent to a given parallelogram. 5.... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...non-parallel sides of a trapezoid is equal to one-half the sum of the bases (§ 132), it follows that The area of a trapezoid is equal to the product of its altitude by the line joining the middle points of its non-parallel sides. 318. Sen. The area of any polygon... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...equal to the product of its altitude and one half the sum of its bases. HINT. Draw a diagonal. COR. The area of a trapezoid is equal to the product of its altitude and median. SCHOLIUM. The area of any polygon may be found by drawing diagonals from one of its vertices,... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...non-parallel sides of a trapezoid is equal to one-half the sum of the bases (§ 132), it follows that The area ' of a trapezoid is equal to the product of its altitude by the line joining the middle points of its non-parallel sides. 318. Sch. The area of any polygon... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...triangle of equal area having its vertex on a given straight line. In what case is this impossible ? 9. The area of a trapezoid is equal to the product of its altitude and half the sum of its parallel sides. 10. Show that the sum of the squares on the two segments of a given... | |
 | Samuel Wesley Baird - Arithmetic - 1901 - 174 pages
...the area of a parallelogram is the product of its altitude and base, so the area of a trapezoid is the product of its altitude and one half the sum of its bases. LESSON 114 1. Find the area of a trapezoid whose parallel sides are 70 ft. and 150 ft., and altitude... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...non-parallel sides of a trapezoid is equal to one-half the sum of the bases (Theorem XXXV), it follows that, The area of a trapezoid is equal to the product of its altitude by the line joining the middle points of the non-parallel sides. THEOREM LXVII. 203. Two similar triangles... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...is equal to half the product of its diagonals. PLANE GEOMETRY — BOOK IV PROPOSITION VL THEOREM 411 The area of a trapezoid is equal to the product of its altitude and half the sum of the bases. HYPOTHESIS. b and V are the bases, and a is the altitude of the trapezoid... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...area of the A BAD = \ ax b'. Adding, the area of ABCD = \ a (b + b'). §406 Ax. 1 QED 412 COROLLARY. The area of a trapezoid is equal to the product of its altitude and median. § 211 413 SCHOLIUM. The area of any polygon may be found by dividing the polygon into triangles.... | |
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Hence, the area of a trapezoid is equal to the product of its altitude by the line connecting the middle points of the sides which are not parallel. 
