 | Euclides - 1840 - 192 pages
...point of the base, is • equal to half of the base. (Pr.32.) 17. In a right-angled triangle, the angle contained by the line bisecting the right angle, and...half of the difference of the angles at the base. 18. To trisect a right angle, or to divide it into three equal angles. 19. If the external angles of... | |
 | William Frothingham Bradbury - Geometry - 1873 - 132 pages
...triangles are mutually equiangular and therefore similar (20). THEOREM XI. 241 In a right triangle the perpendicular drawn from the vertex of the right angle to the hypothenuse divides the triangle into two triangles similar to the whole triangle and to each other.... | |
 | William Frothingham Bradbury - Geometry - 1873 - 288 pages
...triangles are mutually equiangular and therefore similar (20). THEOREM XI. 24 « In a right triangle the perpendicular drawn from the vertex of the right angle to the hypothenuse divides the triangle into two triangles similar to the whole triangle and to each other.... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...hence CEB = ECB, and BE = BC. But as BD and EC are parallel THEOREM XXVI. 63 i In a right triangle the perpendicular drawn from the vertex of the right angle to the hypothenuse divides the triangle into two triangles similar to the whole triangle and to each other.... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...The base and altitude of a right triangle are 6 feet and 8 feet respectively ; what is the length of the perpendicular drawn from the vertex of the right angle to the hypotenuse ? 11 Find a mean proportional between two given lines. Demonstrate. 12 Two intersecting... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...The difference between the acute angles of a right triangle is equal to the angle between the median and the perpendicular drawn from the vertex of the right angle to the hypotenuse. 10. In the triangle formed by the bisectors of the exterior angles of a given triangle,... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...The difference between the acute angles of a right triangle is equal to the angle between the median and the perpendicular drawn from the vertex of the right angle to the hypotenuse. 9. In a right triangle the bisector of the right angle also bisects the angle between the... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...equal to the sum of the squares of the other pair. Ex. 429. The legs of a right triangle are a and b, and the perpendicular drawn from the vertex of the right angle to the hypotenuse is p; prove that -1 = 1 + 1. 2 2 a PROJECTION. 185. The projection of a point upon a straight... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...513. The base and altitude of a right triangle are 6 ft. and 8 ft. respectively. What is the length of the perpendicular drawn from the vertex of the right angle to the hypotenuse ? Ex. 514. The parallel sides of a trapezoid are 12 in. and 16 in. and the non-parallel... | |
 | William James Milne - Geometry - 1899 - 326 pages
...The base and altitude of a right triangle are 6 ft. and 8 ft., respectively. What is the length of the perpendicular dra.wn from the vertex of the right angle to the hypotenuse ? Solution. Let ABC be the given Д and BD the _L to the hypotenuse AC. Then, § 349, AC... | |
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In a right triangle the perpendicular drawn from the vertex of the right angle to the hypothenuse divides the triangle into two triangles similar to the whole triangle and to each other. 
