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" If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. "
Elements of Geometry: Plane geometry - Page 140
by Andrew Wheeler Phillips, Irving Fisher - 1896
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Plane and Solid Geometry

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...
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Plane Geometry

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...
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High School Algebra Complete

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 bisector of...
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Solid Geometry

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 leg is...
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General Mathematics, Book 2

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. 2. Either...
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Solid Geometry

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 triangle...
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Drill Book in Plane Geometry

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...
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Solid Geometry

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...
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Essentials of Plane Geometry

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...
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Beginners' Logic

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 adjacent segment....
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