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If the perpendicular from any vertex of a triangle to the opposite side divides that side into two segments, how does each of these segments compare in length with its adjacent side of the triangle ? Prove it.
Proceedings of the Edinburgh Mathematical Society - Page 60
by Edinburgh Mathematical Society - 1894

Plane and Spherical Trigonometry

Alfred Hix Welsh - Plane trigonometry - 1894 - 230 pages
...From which the sides may be determined, when the perimeter and the angles are given. THEOREM VIII. The perpendicular from any vertex of a triangle to the opposite side is equal to the product of that side by the product of the sines of the adjacent angles, divided by...

Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...by a line meeting BC at P. Which is the longer, AB or BP? Prove it. Also CA or PC ? Prove it. 76. If the perpendicular from any vertex of a triangle to the opposite side divides that side into two segments, how does each of these segments compare in length with its adjacent...

Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...a line meeting BC at P. Which' is the longer, AB or BP? Prove it. Also CA or PC ? Prove it. 76. If the perpendicular from any vertex of a triangle to the opposite side divides that side into two segments, how does each of these segments compare in length with its adjacent...

Proceedings of the ... Annual Meeting, Volumes 17-20

Engineering - 1896
...side BC. From which the sides may be determined when their sum and the angles are given. Theorem VIII. The perpendicular from any vertex of a triangle to the opposite side is equal to that side into the product of the sine of the adjacent angles, divided by the sine of the...

New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 382 pages
...prove that the sum of either pair of opposite sides is less than the sum of its two diagonals. 49. If the perpendicular from any vertex of a triangle to the opposite side divides that side into two segments, how does each of these segments compare in length with its adjacent...

Junior High School Mathematics, Volume 3

John Charles Stone - 1921 - 274 pages
...triangle with the hypotenuse twice as long as one of its legs. 4. THE ALTITUDES AND MEDIANS OF A TRIANGLE The perpendicular from any vertex of a triangle to the opposite side is called an altitude of the triangle, and the side to which it is drawn is called the corresponding...