 | Robert Remington Goff - 1922 - 136 pages
...in the opposite side which shall divide the triangle into two triangles in the ratio of 3 to 5. 2. The areas of two similar triangles are to each other as the squares of the corresponding altitudes; medians; angle-bisectors. 3. The base of a triangle is 16 ft. and the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...the quadrilateral. PLANE GEOMETRY The area of a rhombus is equal to half the product of the Ex. 1222. The areas of two similar triangles are to each other...as the squares of any two homologous medians. Ex. 1223. If the median AX, BY, and CZ of A ABC, meet in 0, then AAOC is equivalent to A BOC. Ex. 1224.... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...canceling A ABE, we have the proportion Ax. 3 210 BOOK IV Propositions. Similar Triangles 250. Theorem. The areas of two similar triangles are to each other as the squares on any two corresponding sides. Given the similar &ABC and A'B'C'. Prove that A ABC _ c2 AA'B'C' c'2... | |
 | Ben DeKalbe Wood - Education, Higher - 1923 - 376 pages
...2. Prove: An angle inscribed in a circumference is measured by half the intercepted arc. 3. Prove: The areas of two similar triangles are to each other as the squares of two corresponding altitudes. 4. In an isosceles triangle, ABC, the sides AC and BC are each twenty-five... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...are equal (sss), and all the triangles are similar. (See 102, 198.) Proposition XVIII. Theorem 264. The areas of two similar triangles are to each other as the squares of any two homologous sides. B B' Hyp.: .Given the similar triangles ABC and A'B'C'. Since angle A - angle A, AA,BC , - (... | |
 | Edward Ira Edgerton, Perry Amherst Carpenter - Algebra - 1925 - 398 pages
...on these sales were $3250. What would be the net profits on sales of $88,000 at the same rate ? 22. The areas of two similar triangles are to each other as the squares of any two corresponding sides. Given a triangle whose area is 324, and another similar triangle with area of... | |
 | College Entrance Examination Board - Universities and colleges - 1926 - 210 pages
...originally planned. How many boys actually went on the trip and how much did each pay? 6. Prove that the areas of two similar triangles are to each other as the squares of any two corresponding sides. 7. Prove that, if from any point in the base of an isosceles triangle lines are... | |
 | Education - 1909 - 1288 pages
...sides, minus twice the product of one of these sides and the projection of the other side ui>on it. 3. The areas of two similar triangles are to each other as the squares of any two homologous sides. 4. The area of a regular polygon Is equal to half the product of its apothem and perimeter.... | |
 | United States Naval Academy - 1914 - 110 pages
...twice the product of one of those sides by the projection of the other side upon it. (2) Prove that the areas of two similar triangles are to each other as the squares of any two homologous sides. (6) (1) The ratio of similitude of two similar polygons is 3 to 4; the sum of their areas is... | |
 | Military Academy, West Point - 1934 - 964 pages
...inscribed regular trinngles is 25 square inches. (Leave answer in surd (am. MARCH 1936 1 10 Theorem: The areas of two similar triangles are to each other as the squares of 1:7homologous sides. 2 10 Problem: Inscribe in я given circle an angle of 30° whose sides snail... | |
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The areas of two similar triangles are to each other as the squares of any two homologous sides. 
