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" If one acute angle of a right triangle is double the other, the hypotenuse is double the shorter leg. "
Plane Geometry - Page 66
by George Albert Wentworth - 1899 - 256 pages
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...the hypotenuse is equal to one-half the hypotenuse (I. 121, 38, 46). 9. If one of the acute angles of a right triangle is double the other, the hypotenuse is double the shortest side (Ex. 8), (I. 69, 86, 90). 10. If ABC is any right triangle, and if from the acute angle...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...the hypotenuse is equal to one-half the hypotenuse (I. 121, 38, 46). 9. If one of the acute angles of a right triangle is double the other, the hypotenuse is double the shortest side (Ex. 8), (I. 69, 86, 90). 10. If ABC is any right triangle, and if from the acute angle...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...sum and greater than the half sum of the three sides of the triangle. 2, If one of the acute angles of a right triangle is double the other, the hypotenuse is double the shortest side. 3. If from any point within an equilateral triangle perpendiculars to the three sides...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...sum of the segments of the sides between the parallel and the base. j 72. If one of the acute angles of a right triangle is double the other, the hypotenuse is double the shortest side. 73. The sum of the perpendiculars dropped from any point in the base of an isosceles...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...sum and greater than the half sum of the three sides of the triangle. 2. If one of the acute angles of a right triangle is double the other, the hypotenuse is double the shortest side. 3. If from any point within an equilateral triangle perpendiculars to the three sides...
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Proceedings of the Board of Public Instruction of the City of Albany, Volume 15

Albany (N.Y.). Board of Public Instruction - Education - 1895 - 624 pages
...equal to the sum of the two opposite interior angles. 13-15. Prove that if one of the acute angles of a right triangle is double the other, the hypotenuse is double the shortest side. 16-18. Prove that in the same circle, or equal circles, equal choi-ds subtend equal...
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Plane Geometry

George D. Pettee - Geometry, Plane - 1896 - 272 pages
...equiangular pentagon ? hexagon ? octagon ? decagon ? dodecagon ? PROPOSITION XXXVIII 125. Theorem. // one acute angle of a right triangle is double the other, the hypotenuse is double the shorter legAppl. Cons. Dem. Dem. B = 2 C, ie 2 X Prove 5C=25^ Draw median AD X' = X Z = 2X Y = 2X BDA = equilat....
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...equal to half the perimeter of the circumscribed equilateral triangle. 8. If one of the acute angles of a right triangle is double the other, the hypotenuse is double the shorter side. Johns Hopkins University, October, 1896. 1. Prove that the bisectors of the two pairs of vertical...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 pages
...equal to half the perimeter of the circumscribed equilateral triangle. 8. If one of the acute angles of a right triangle is double the other, the hypotenuse is double the shorter side. Johns Hopkins University, October, 1896. 1. Prove that the bisectors of the two pairs of vertical...
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Essentials of Geometry (plane).

Webster Wells - Geometry - 1898 - 264 pages
...E is the middle point of AB, prove Z DC-& equal to the difference of angles A and B. (Ex. 83.) 104. If one acute angle of a right triangle is double the other, the hypotenuse is double the shorter leg. (Fig. of Ex. 86. Draw CA to middle point of BD.) 105. If AC be drawn from the vertex of the right angle...
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