Books Books
If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
The Essentials of Geometry (plane) - Page 151
by Webster Wells - 1898 - 242 pages

## Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 110 pages
...equiangular with ABC, and hence similar. 72 PERPENDICULAR ON HYPOTENUSE. [BOOK V. PROP. XVIII. THEOREM. The perpendicular from the vertex of the right angle to the hypotenuse of a right-angled triangle, divides it into two triangles similar to each other, and similar to the...

## Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...AHB be a triangle right angled at H; a, h, b, the sides respectively opposite the angles, A, H, B; p, the perpendicular from the vertex of the right angle to the hypotenuse ; m and n, segments of the hypotenuse respectively adjacent to a and b. 1. The triangle BDH is similar...

## Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...EXERCISES. 1. In a right triangle, the sides about the right angle are 12 and 15; required the length of the perpendicular from the vertex of the right angle to the hypotenuse. Suggestion. —Find the hypotenuse and one of the segments. 2. A lot is in the form of a right triangle,...

## The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...intersect each other, their common chord produced bisects their common tangents. (§ 293.) 3. If one side of a, right triangle is 'double the other, the perpendicular...it into segments which are to each other as 1 to 4. 4. If two parallels to the side BC of a triangle meet the sides AB and AC in the points D and F, and...

## Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...extremity of the bisector extended, then the triangles BAD and ACE can be proved similar. 375. If one side of a right triangle is double the other, the perpendicular, from the vertex of the right angle to the hypothenuse, divides it into segments which are to each other as 1 to 4. 376. A line parallel to the...

## Manual of Plane Geometry: On the Heuristic Plan, with Numerous Extra ...

George Irving Hopkins - 1891 - 210 pages
...triangle is double the other, the perpendicular, from the vertex of the right angle to the hypothenuse, divides it into segments which are to each other as 1 to 4. 376. A line parallel to the bases of a trapezoid, passing through the intersection of the diagonals,...

## The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...intersecting circles is 16, and their radii are 10 and 17, what is the distance between cheir centres ? 22. If one leg of a right triangle is double the other,...it into segments which are to each other as 1 to 4. 23. If two parallels to the side BC of a triangle ABC meet the sides AB and AC in D and F, and E and...

## The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...10 and 17, what is the distance between cheir centres ? 22. If one leg of a right triangle is douhle the other, the perpendicular from the vertex of the...it into segments which are to each other as 1 to 4. 23. If two parallels to the side BC of a triangle ABC meet the sides AB and AC in D and F, and E and...