 | 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... | |
 | 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 - 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... | |
 | 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... | |
 | John William McClymonds, David Rhys Jones - Arithmetic - 1907 - 390 pages
...A quadrilateral that has only two sides parallel is called a trapezoid. See Figs. 1 and 2, p. 228. The area of a trapezoid is equal to the product of its altitude and one half the sum of its bases. 7. Draw five figures similar to Fig. 2, p. 228. Assign the dimensions,... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...altitude. 392. The area of a triangle is equal to half of the product of its base and altitude. 394. The area of a trapezoid is equal to the product of its altitude and one half of the sum of its parallel sides. 396. The areas of two triangles having an angle of one... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...prove area ABCD = | a(b + &'). Proof. Draw the diagonal AC. and .-. urea, ABCD = §425 QED 432. COR. The area of a trapezoid is equal to the product of its median and altitude. 433. NOTE. The area of any polygon may be obtained by finding the sum of the areas... | |
 | Geometry, Plane - 1911 - 192 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. 6. Two regular polygons of the same number... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...quadrilateral to the opposite vertices, and prove that two pairs of equivalent triangles are formed. 8. The area of a trapezoid is equal to the product of its altitude and the line joining the middle point of the nonparallel sides of the trapezoid. 9. The base angles... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...bh, § 333 and area A. 4 DC = J Vh. 4. .'. area trapezoid ABCD = J h(b + V). Ax. 2 336. COROLLARY. The area of a trapezoid is equal to the product of its altitude and mid-line. § 219 EXERCISES 1. From § 321 derive a proof for the above theorem by means of the... | |
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The area of a trapezoid is equal to the product of its altitude, by half the sum of its parallel bases. 
