The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES. Euclid - Page 99by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Education - 2004 - 352 pages
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| Clayton W. Dodge - Mathematics - 2004 - 310 pages
...of Menelaus' theorem, the following theorems are given. 4.4 Theorem The line joining the midpoints **of two sides of a triangle is parallel to the third side.** Let M and N be the midpoints of sides AB and CA of triangle ABC. (See Fig. 4.4.) Let line MN meet side... | |
| K. A. Stroud - Mathematics - 2005 - 366 pages
...QB-QB = 0 QB + QD = 0 Here is one more. Example 4 Prove by vectors that the line joining the mid-points **of two sides of a triangle is parallel to the third side and** half its length. Let D and E by the mid-points of AB and AC respectively. We have DE = M + ÄE Now... | |
| N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...vectors represented by the other sides. (Punjab, 1986 S) 2. Prove that the line joining the mid-points **of two sides of a triangle is parallel to the third side and** half of it. (N. Bengal, 1989 ; Marathwada, 1990) 3. Prove that the lines joining the mid-points of... | |
| Mel Friedman, Michael Lee, Robert Bell, Suzanne Coffield, Adel Arshaghi, Lina Miceli, George DeLuca, Anita Price Davis, Joseph Fili, Marilyn Gilbert, Sally Wood, Michael McIrvin, Bernice E. Goldberg, Leonard Kenner - Education - 2005 - 878 pages
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| Mel Friedman, Lina Miceli, Robert Bell, Michael Lee, Sally Wood, Adel Arshaghi, Suzanne Coffield, Michael McIrvin, Anita Price Davis, Research & Education Association, George DeLuca, Joseph Fili, Marilyn Gilbert, Bernice E. Goldberg, Leonard Kenner - Study Aids - 2005 - 886 pages
...the slope of BC. Denote it by m. 4-0 _ 1 10 + 6~4 m We know that a segment that joins the midpoints **of two sides of a triangle is parallel to the third side.** So, DE is parallel to BC, and as a result they have the same slope. Therefore, the slope of DE is -... | |
| Dinesh Khattar - 898 pages
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