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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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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - Geometry - 1807 - 408 pages
...231. The area of a triangle is equal to one half the product of its base and altitude. Given — ABC a triangle having its altitude equal to a and its base equal to 6. To Prove— Area ABC= } ax b. Dem. — Construct the parallelogram ABEC. Now, &ABC= \EHASEC. 220...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1871 - 492 pages
...other as their altitudes. K f* i A ~ D PROPOSITION VI. THEOREM. The area of a triangle is equal to half the product of its base and altitude. Let ABC be a triangle, BG its base, and AD its altitude : then will the area of the triangle be equal to $BC x AD. For, from...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 566 pages
...parallelogram is equivalent to a rectangle of the same base and altitude (313). 323. COB. 3. — The area of a triangle is equal to one-half the product of its base and altitude; fora triangle is one-half of a parallelogram of the same base and altitude (3 14). 324. COB. 4. —...
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A Treatise on Special, Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...parallelogram is equivalent to a rectangle of the same base and altitude (313). 323. COR. 3. — The area of a triangle is equal to one.half the product of its base and altitude ; for a triangle is one.half of a parallelogram of the same base and altitude (3 14). 32Ф. COR. 4....
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...to each other as their altitudes. PROPOSITION VI. THEOREM. The area of a triangle is equal to half the product of its base and altitude. Let ABC be a triangle, BC its base, and AD is Mtitude : then will the area of the triangle be equal to {BC x AI>. For, from...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1875 - 390 pages
...their bases by their altitudes. PROPOSITION V.— THEOREM. 13. The area of a triangle is equal to half the product of its base and altitude. Let ABC be a triangle, k the numerical measure of its base BC, h that of its altitude AD; / and S its area ; then, 8 = J k...
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National Arithmetic; Oral and Written: For Common and Graded Schools ...

Joseph Ficklin - Arithmetic - 1881 - 406 pages
...altitude 6 ft. 9 x fi SOLUTION. — — = 27 ; hence, the area is 27 sq. ft. a EXPLANATION. — The area of a triangle is equal to one-half the product of its base and altitude. FORMULA : Area of triangle = \ (Base x Altitude). 2. What is the area of a triangle whose base is 50...
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The System of Calculating Diameter, Circumference, Area, and Squaring the ...

James Morton - Circle-squaring - 1881 - 240 pages
...circumf. into three equal parts ; draw the chords AC, AB, C B. The area of this triangle is equal to half the product of its base and altitude. Let ABC be a triangle, and BD perpendicular to the base ; then will its area be equal to one-half of ACxBD. For draw CE parallel...
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - Geometry - 1883 - 352 pages
...parallelogram is equivalent to a rectangle of the same base and altitude (332). 347. COROLLARY 3.—The area of a tri-angle is equal to one-half the product of its base and altitude; for a triangle is one-half of a parallelogram of the same base and altitude (333). 348. COROLLARY 4.—Parallelograms...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...stones, of rectangular form, 2 ft. 3 in. by 10 in., will be required to pave it? THEOREM VI. • The area of a triangle is equal to one-half the product of its base by its altitude. r- Let ABD be any triangle; then 7 will ABD = $ a b. ^/ For, draw DC parallel to AB,...
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