 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...connected. Prove that A BCD is a rectangle. FIG. S8Q FIG. 888 383. 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... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...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... | |
 | Ray Harbaugh Dotterer - Logic - 1924 - 364 pages
...prove that AC 2 = AB 2 -|-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.... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...sides are 9, 12, 15, is 7% ; just three times the former altitude. Proposition XXV. Theorem 217. //, in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypothenuse: I. The triangles formed are similar to each other and to the given triangle. II. The perpendicular... | |
 | William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...the square on any Une from the vertex to the base plus the product of the segments of the base. 20. In a .right triangle, a perpendicular is drawn from the vertex of the right angle to.the hypotenuses-Show that the areas of the two triangles thus formed have the same ratio as the... | |
 | United States Naval Academy - 1914 - 110 pages
...and divide it into 7 equal parts by a construction. Explain and prove your work. 3. (a) Prove that if a perpendicular is drawn from the vertex of the right angle to the hypotenuse of a right triangle, this perpendicular is a mean proportional between the segments of the hypotenuse.... | |
 | Education - 1909 - 1288 pages
...chords intercept equal arcs on the circumference of a circle. 5. In a right triangle, a i>erpendicnlar is drawn from the vertex of the right angle to the hypotenuse. (a) Prove that either leg is a mean proportional between the whole hypotenuse and the segment adjacent... | |
 | College Entrance Examination Board - Mathematics - 1920 - 108 pages
...speed had been 3 miles per hour more. Find the number of days required for the trip. 6. In a given right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse. Prove that this perpendicular divides the* given right triangle into two similar triangles, and that... | |
 | Military Academy, West Point - 1934 - 964 pages
...Construct a lice i '_!•<-'. to the sidos of the angle which shall be bisected at P. 7 10 Theorem: If, in a right triangle, a perpendicular is drawn from the vertex of ;Nangle to the hypotenuse, the squares on the legs are proportional to the &-l^rc: * ments of the hypotenuse.... | |
 | Harvard University - Education - 1876 - 324 pages
...has for its measure half the concave arc intercepted between its sides, minus half the convex arc. 2. If, in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypothenuse, what relations exist between the three triangles thus formed ? Prove. How is this proposition... | |
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If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. 
