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" The area of a triangle is equal to half the product of its base by its altitude. "
A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ... - Page 218
by George Leonard (Jr.) - 1839 - 347 pages
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...each other as the products of their bases by their altitudes. Proof: (?). 378. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. Given : A ABC ; base = b \ altitude = h. To Prove : \ Area of A ABC = -£ b - h. Proof :...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...each other as the products of their bases by their altitudes. Proof: (?). 378. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. Given: A ABC; altitude = h. To Prove : Area of A ABC = % b • h. Proof : Through A draw...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...other as the products of their bases by their altitudes. PROPOSITION V. THEOREM 325. The area of a triangle is equal to half the product of its base by its altitude. o A b BX Given the triangle ABC, with altitude a and base b. To prove that the area of the...
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Bulletin, Issues 1-13

United States. Office of Education - 1911 - 1154 pages
...between a secant from the same point and the external segment of the secant. 6. Prove that the area of a triangle is equal to half the product of Its base by Its altitude. Group III. 7. Find the area of a circle inscribed in an equilateral triangle whose side is...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 358 pages
...an approximation. The cutting of the paper is in every way more satisfactory. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. Of course, the Greeks would never have used the wording of either of these two propositions....
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Bulletin, Issues 1-11

Education - 1911 - 1030 pages
...between a secant from the same point and the external segment of the secant. 0. Prove that the area of a triangle is equal to half the product of Its base by its altitude. GROUP III. 7. Find the area of a circle inscribed in an equilateral triangle whose side is...
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Hopkins and Underwood's Arithmetic: Book One-two, Book 2

John William Hopkins, Patrick Healy Underwood - Arithmetic - 1912 - 406 pages
...ABCD. Therefore, the area of the triangle ABOia equal to half the product of AO by BH. The area of a triangle is equal to half the product of its base by its altitude. Thus, the area of a triangle, whose base is 12 ft. and altitude 5 ft., equals one half of...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...other as the products of their bases by their altitudes. PROPOSITION V. THEOREM 325. The area of a triangle is equal to half the product of its ~base by its altitude. A b B x Given the triangle ABC, with altitude a and base b. To prove that the area of the...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...base of the triangle with reference to the altitude drawn to that side. 352. THEOREM. The area of a triangle is equal to half the product of its base by its altitude. Given the triangle ABC, with base b and altitude h. To prove that the area of A ABC = | bh....
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Solid Geometry

John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...altitude. 347. Parallelograms having equal bases and equal altitudes are equivalent. 349. The area of a triangle is equal to half the product of its base by its altitude. 352. The area of a trapezoid is equal to half the product of its altitude by the sum of its...
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