 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...parallelograms of equal altitudes are to each • other as their bases. Proposition 5. Theorem. 366. TJie area of a triangle is equal to half the product of its base and altitude. Hyp. Let ABC be a A, BC its base, and AD its altitude. To prove A ABC = £ BC X AD. Proof.... | |
 | Rutgers University. College of Agriculture - 1893 - 682 pages
...3. The perimeters of two similar polygons are to each other as any two homologous sides. 4. The area of a triangle is equal to half the product of its base and altitude. 5. The circumference of a circle is 78.54 inches; find (1) its diameter, and (2) its... | |
 | William Chauvenet - 1893 - 340 pages
...area of a parallelogram is equal to the product of its base and altitude. PROPOSITION VI. The area of a triangle is equal to half the product of its base and altitude. Corollary I. A triangle is equivalent to one-half of any parallelogram having the same... | |
 | John Tilden Prince - 1894 - 120 pages
...area of parallelograms having the same base and altitude. 3. Show from the facts learned that the area of a triangle is equal to half the product of its base by its altitude ; ie, , b X a , , ., « A = • . or A = b X -• 2 2 4. Draw a right triangle whose base... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...area of a parallelogram is equal to the product of its base and its altitude. 248. Theorem. The area of a triangle is equal to half the product of its base and its altitude. 249. Corollary. Triangles having equal bases and equal altitudes are equivalent.... | |
 | John Tilden Prince - Arithmetic - 1895 - 358 pages
...parallelograms hav- « «"/ Jing the same base and altitude. 3. Show from the facts learned that the area of a triangle is equal to half the product of its base by its altitude ; ie, 4. Draw a right triangle whose base is 3 in. and whose perpendicular is 4 in. What is... | |
 | William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...vertex of the angle opposite the base to the base, or to the base produced ; as B D. 462. The area of a triangle is equal to half the product of its base and altitude. NOTE. For demonstration of the principles of Mensuration, Geometry must be consulted.... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...other as the products of their bases by their altitudes. 188 PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude. b BD Let a be the altitude and b the base of the triangle ABC. To prove that the area of... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...400. The area of a parallelogram is equal to the product of its base by its altitude. 403. The area of a triangle is equal to half the product of its base by its altitude. 404. Triangles having equal bases and equal altitudes are equivalent. 405. Triangles having... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude. D Let a be the altitude and b the base of the triangle ABC. To prove that the area of the... | |
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The area of a triangle is equal to half the product of its base by its altitude. 
