 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...C and D, the straight lines BC, BD are to each other as the diameters of the circles. Ex. 547. The area of a triangle is equal to half the product of its perimeter by the radius of the inscribed circle. Ex. 548. The perimeter of a triangle is to one side as the perpendicular... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...C and D, the straight lines BC, BD are to each other as the diameters of the circles. Ex. 547. The area of a triangle is equal to half the product of its perimeter by the radius of the inscribed circle. Ex. 548. The perimeter of a triangle is to one side as the perpendicular... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...each other as the products of their bases by their altitudes. 188 PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude. b BD Let a be the altitude and b the base of the triangle ABC. To prove that... | |
 | Harvard University - Geometry - 1899 - 39 pages
...IV. The area of a parallelogram is equal to the product of its base and its altitude. THEOREM V. The area of a triangle is equal to half the product of its base and its altitude. Corollary. Two triangles having equal bases and equal altitudes are equivalent.... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude. D Let a be the altitude and b the base of the triangle ABC. To prove that the... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...by its altitude. 401. Parallelograms having equal bases and equal altitudes are equivalent. 403. The area of a triangle is equal to half the product of its base by its altitude. 405. Triangles having equal bases are to each other as their altitudes ; triangles... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...equal the triangles are to each other as their bases. 595. COROLLARY II. The area of a triangle is one half the product of its perimeter and the radius of the inscribed circle. [Draw radii to the points of tan- 3 gency. Connect the center O with the three vertices. Show that... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...ratio as their bases ; or having equal bases are in the same ratio as their altitudes. § 302. (5) The area of a triangle is equal to half the product of its base and altitude. § 306. (6) The areas of two triangles having an angle of the one equal to an angle... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...by its altitude. 401. Parallelograms having equal bases and equal altitudes are equivalent. 403. The area of a triangle is equal to half the product of its base by its altitude. 405. Triangles having equal bases are to each other as their altitudes; triangles... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...IV, Theo. VI. Conclusion. EXERCISES 150. The area of any polygon that is circumscribed about a circle is equal to half the product of its perimeter and the radius of the circle. 151. Find the area of a regular hexagon whose side is 10 ft. 152. The apothem of a regular... | |
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The area of a triangle is equal to half the product of its base by its altitude. 
