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" The area of a triangle is equal to one-half the product of its base and altitude. "
Mathematics, mechanics, heat - Page 60
by American School (Chicago, Ill.) - 1903
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Plane and Solid Geometry

James Howard Gore - Geometry - 1902 - 266 pages
...area of a rhombus is equal to one-half the product of its diagonals. PROPOSITION V. THEOREM. 254. The area of a triangle is equal to one-half the product...Let ABC be a triangle, having its altitude equal to h and its base equal to b. To prove that area ABC = \ hx b. Draw the lines AD and CD parallel to BC...
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Surveying, Land Surveying, Mapping, Railroad Location, Railroad Construction ...

International Correspondence Schools - Cartography - 1903 - 846 pages
...altitudes are measured with the scale and the areas of the several triangles calculated by the rule : the area of a triangle is equal to one-half the product of its base and al/i/ude. 94—14 The sum of the areas of the several triangles is equal to the area of the polygon....
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...altitude. 385. The area of a parallelogram is equal to the product of its base by its altitude. 389. The area of a triangle is equal to one-half the product of its base by its altitude. 390. Triangles which have equal bases and equal altitudes (or which hare equal bases...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1905 - 410 pages
...product of its base and altitude. Suggestion. § 323 and § 326. PROPOSITION V. 331. Theorem. The area 0f a triangle is equal to one-half the product of its base and altitude. AMB CD Let ABC represent a triangle, AB its base, and MC its altitude. To prove that the area of the...
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Treatise on Elementary Geometry

William Chauvenet - 1905 - 336 pages
...AD and DC respectively, the rectangle OD will be equivalent to one-half the rectangle ABCD. 6. The area of a triangle is equal to one-half the product of its perimeter by the radius of the inscribed circle. 7. The area of a rhombus is one-half the product of...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...other, the square on the common chord is equal to three times the square on the radius. Ex. 450. The area of a triangle is equal to one-half the product of its perimeter by the radius of the inscribed circle. Ex. 451. What is the ratio of the areas of two similar...
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Exercises in Concrete Geometry: With Supplementary Discussions

David Sands Wright - Geometry - 1906 - 104 pages
...ratio of 2 to \/ 3, to find the entire line. BOOK IV. MEASUREMENTS OF SURFACES. 1 8. Theorem. T/ie area of a triangle is equal to one-half the product of its base by its altitude. 1. Given the base of a triangle 46 and its altitude 44 ; to find its area. 2. Given...
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Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

International Correspondence Schools - Building - 1906 - 634 pages
...triangle ABC is one-half the rectangle AB CD and the area of the latter is a b. 44. The area of any triangle is equal to one-half the product of its base and altitude. In Fig. 30 (a), let AC be the base and BH the altitude of the triangle AB C. The area ABC is equal...
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The Babylonian Expedition of the University of Pennsylvania ..., Volume 20

University of Pennsylvania. Babylonian Expedition - Babylonia - 1906 - 149 pages
...base and altitude. '2. The area of a square is equal to the square of its side. o. The area of a right triangle is equal to one-half the product of its base; and altitude. 4. The area of a trape/oid is equal to one-half the sum of its bases multiplied by its altitude. And,...
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Intermediate Arithmetic

Bruce Mervellon Watson, Charles Edward White - Arithmetic - 1907 - 272 pages
...triangle is what part of the parallelogram having the same base and altitude? AREAS OF TRIANGLES The area of a triangle is equal to one-half the product of its base and altitude. 7. The following triangles are drawn to a scale. The bases and altitudes of the triangles which they...
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