 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...can be 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... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...AC = 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 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... | |
 | 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, 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... | |
 | 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... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1919 - 576 pages
...hypotenuse made by a perpendicular from the vertex of the right angle to the hypotenuse. 373. Theorem. If in a right triangle a perpendicular is drawn from the vertex of the right angle on the hypotenuse, the perpendicular is a mean proportional G between the segments of the hypotenuse.... | |
 | Marquis Joseph Newell - 1920 - 424 pages
...through two sides of a 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 bisector of... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...obtained here closer than that secured in Exs.-,75 and 76 ? Explain. • PLANE GEOMETRY Theorem 10 282. 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 triangle... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...similar polygons are in the same ratio as any two homologous sideģ. 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 leg is... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
