 | Geometry, Plane - 1911 - 192 pages
...two parallel chords intercept equal arcs on the circumference of a circle. 5. In a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypotenuse. between the whole hypotenuse and the segment adjacent to that leg. (6) If the hypotenuse is 10, and... | |
 | George Albert Wentworth - 1913 - 296 pages
...= 4. 6. a = 5, b = 7. 9. a = 11, b = 21. 4. a = 1, i = 6. 4. a = 7,1 = 11. 10. a = 13, 6 = 29. 11. In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse, as shown in the figure, then, as in § 165, - = т- If o = 1.3 and 6 = 4, what is the length of p?... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...and 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 betiveen the hypotenuse and the segment adjacent... | |
 | 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 within a circle,... | |
 | 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... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...mean proportional between the segments of the hypotenuse. 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
...triangles are 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... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
