 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...DB, we obtain AD/CD — CD/DB, which was to be proved. 163. Corollary 2. If, in any right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, each side of the right triangle is the mean, proportional between the hypotenuse and the segment adjacent... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...if^:^ a jie a«M*. • *i.- " -X -- v? rr * A ^h 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... | |
 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...similar if 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... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...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)... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...length of BK and of DM. PLANE GEOMETRY. BOOK III PROPOSITION XIII. THEOREM 319. If, in a right triangle, a perpendicular is drawn from the 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
...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 - 344 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... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...harmoni- A ^~«~ cally at X and X'. FlG- 324 PROPORTIONAL SEGMENTS IN RIGHT TRIANGLES 220. THEOREM 108. If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the perpendicular is a mean proportional between the segments... | |
| |
If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
