 | Marquis Joseph Newell - 1920 - 424 pages
...triangle parallel to the third side, it divides the two sides proportionally. IV. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the perpendicular is a mean proportional between the segments of the hypotenuse. V. The... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...perimeters of two similar polygons are in the same ratio as any two homologous side». Prop. 93. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the perpendicular is a mean proportional between the segments of the hypotenuse, and either... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...connected. Prove that A BCD is a rectangle. FIG. 389 FIG. 388 SIMILAR POLYGONS 383. Theorem. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse, then 1. The perpendicular is a mean proportional between the .segments of the hypotenuse.... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...sides of a triangle and parallel to the third side forms a second triangle similar to the first. 282. If a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle, (1) the two triangles formed are similar to each other and to the given... | |
 | Robert Remington Goff - 1922 - 136 pages
...273 under one statement. 19. Define Mean proportional; Third proportional; Fourth proportional. 20. If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, state three conclusions. 21. State three methods of finding... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...externally into segments that have the same ratio as the other two sides of the triangle. 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... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...= - , and - = — • ay ox Hence a2 = 4, r and 62 = cx. Then a2 + Exercises. Similar Triangles 1. If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, each of the other sides is the mean proportional between the... | |
 | Ray Harbaugh Dotterer - Logic - 1924 - 364 pages
...-|-BC 2 . To prove this equality, we quote a previous theorem to the effect that if in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse, each leg of the triangle is the mean proportional between the entire hypotenuse and its... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...is 7% ; just three times the former altitude. Proposition XXV. Theorem 217. //, in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypothenuse: I. The triangles formed are similar to each other and to the given triangle. II. The perpendicular... | |
 | United States Naval Academy - 1914 - 110 pages
...and divide it into 7 equal parts by a construction. Explain and prove your work. 3. (a) Prove that if a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle, this perpendicular is a mean proportional between the segments of the... | |
| |
If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
