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" The area of a triangle is equal to half the product of its base by its altitude. "
Elements of Geometry and Trigonometry - Page 100
by Adrien Marie Legendre - 1863 - 455 pages
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...half of the product of its diagonals. 10. Show that the area of a triangle is equal to one half of the product of its perimeter and the radius of the inscribed circle. 11. Find the area of a rectangle whose base and altitude are 8 ft. and 14 ft. respectively. 12. Find...
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...force required to extend the spring I centimetre. 4. Explain carefully the meaning of the rule that the area of a triangle is equal to half the product of its base and its altitude. State the rule in precise terms and establish its truth. 5. Construct a hexagon...
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Plane Trigonometry

Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...the product of one of these two sides and the projection of the other side upon that one. 378. The area of a triangle is equal to half the product of its bas» by its altitude. 444. Let С = circumference and R = radius. Then, С = 2 irR. PLANE TRIGONOMETRY...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...equal altitudes are to each other as their bases. AREAS OF POLYGONS. PROPOSITION V. THEOREM. 425. The area of a triangle is equal to half the product of its base and altitude. AE Given the A ABC and its altitude CE. To prove AABC=±ABxCE. Proof. Construct...
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...are to each 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...
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Bulletin, Issues 1-11

Education - 1911 - 1030 pages
...proportional 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...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 360 pages
...be merely 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...
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Bulletin, Issues 1-13

United States. Office of Education - 1911 - 1154 pages
...proportional 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...
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The Pupils' Arithmetic, Book 4

James Charles Byrnes, Julia Richman, John Storm Roberts - Arithmetic - 1911 - 264 pages
...page 122. The triangle ADC equals one half of the , parallelogram AB CD', / 'herefore : -n RULE. The area of a triangle is equal to half the product of its base and altitude, expressed in like units. eg if the base is 4 ft. and the altitude 2 ft., the area...
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The Pupils' Arithmetic, Book 4

James Charles Byrnes, Julia Richman, John Storm Roberts - Arithmetic - 1914 - 264 pages
...122. The triangle ADC equals one half of the parallelogram ABCD; therefore : ^ , , .D x*> RULE. The area of a triangle is equal to half the product of its base and altitude, expressed in like units. eg if the base is 4 ft. and the altitude 2 ft., the area...
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