 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...the perimeters have the same ratio as any two corresponding sides. PROPOSITION XVII. THEOREM 323. If in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, then: (I) The two triangles thus formed are similar to each other, and to the whole triangle. (III)... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...their sides are parallel each to each, or perpendicular each to each. 310. (3) In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse, each leg is the mean proportional between the whole hypotenuse and the adjacent segment. 313. A perpendicular... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...other; (b) Either side is a mean proportional between the hypotenuse and the adjacent segment; (c) The perpendicular is a mean proportional between the segments of the hypotenuse. A Analyze, and prove. Problem V. To construct a mean proportional between two given lines. Given the... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...other; (6) Either side is a mean proportional between the hypotenuse and the adjacent segment; (c) The perpendicular is a mean proportional between the segments of the hypotenuse. A Problem V. To construct a mean proportional between two given lines. Given the lines m and n. To... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...= 4.6, find the length of BK and of DM. PLANE GEOMETRY. BOOK III PROPOSITION XIII. THEOREM 319. If, in a right triangle, a perpendicular is drawn from...vertex of the right angle to the hypotenuse, I. The two triangles thus formed are similar to each other and to the original triangle ; II. The perpendicular... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...decomposed into the same number of triangles similar, each to each, and similarly placed. 319. If, in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, II. The perpendicular is the mean proportional between the segments of the hypotenuse ; III. Each leg... | |
 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1917 - 264 pages
...similar right triangles, ABC and A'B'C', and in each triangle a perpendicular Qp, p' respectively) is drawn from the vertex of the right angle to the hypotenuse. BA B' Are the figures still similar ? Are the sides proportional ? What can be said as to the corresponding... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 346 pages
...ft. and their ratio is 3 : 5. Use Ex. 5. 229 8. The legs of a right triangle are 15 ft. and 20 ft. A perpendicular is drawn from the vertex of the right angle to the hypotenuse. Find the areas of the two triangles formed. 9. The area of a rectangle is 120 sq. ft.; one side is... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...the squares of any two corresponding sides. § 434. . Theorem. In any right triangle, if the altitude is drawn from the vertex of the right angle to the hypotenuse: (1) The two triangles thus formed are similar to the given triangle and to each other. (2) The altitude... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...the black, the white, and the shaded portions. 434. Theorem. In any right triangle, if the altitude is drawn from the vertex of the right angle to the hypotenuse: (1) The two triangles thus formed are similar to the given triangle and to each other. (2) The altitude... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
