 | 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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...perimeters of two similar polygons have the same ratio as any two corresponding 11. If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse, state three geometric truths that follow. 12. If two secants intersect outside, on, or... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...of the other and the including sides are proportional. 161. Theorem VIII. If, in any right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the two right triangles thus formed are similar to each other and to the given triangle.... | |
 | 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.... | |
 | 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.... | |
 | 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 ;... | |
 | 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... | |
 | 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.;... | |
 | 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... | |
 | 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... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
