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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 ...: Combining the Useful Properties of ... - Σελίδα 209
των George Leonard (jr.) - 1841 - 340 σελίδες
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Plane and Solid Geometry

Edward Rutledge Robbins - 1907 - 428 σελίδες
...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...

Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - 1910 - 287 σελίδες
...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...

The Teaching of Geometry

David Eugene Smith - 1911 - 358 σελίδες
...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....

Bulletin, Τεύχη 1-11

1911 - 1030 σελίδες
...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...

Bulletin, Τεύχη 1-13

United States. Office of Education - 1911 - 1154 σελίδες
...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...

Hopkins and Underwood's Arithmetic: Book One-two, Βιβλίο 2

John William Hopkins, Patrick Healy Underwood - 1912 - 406 σελίδες
...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...

Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 496 σελίδες
...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...

Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - 250 σελίδες
...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....

Solid Geometry

John H. Williams, Kenneth P. Williams - 1916 - 184 σελίδες
...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...

First Book in General Mathematics

1917 - 284 σελίδες
...of FMLP its equal, area of PARL we have : Area of PARL = PL X ML. QED 133a. Theorem: The area of a triangle is equal to half the product of its base by its altitude. Given: CD the altitude of A ABC, AB the base. To prove: Area of A ACS = 1/2 AB X CD. Proof:...




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