| Henry Sinclair Hall - Geometry - 1924 - 316 pages
...AX p AY p AB" q' AC" q' :. AX : AB = AY : AC. QED § 41. Harder theorems on proportion. THEOREM 57. The internal bisector of an angle of a triangle divides the opposite side in the ratio of the other two sides. The D external bisector of an angle of a triangle divides the... | |
| 646 pages
...XW-fWC 5 + 8 XC (ID Area of AXYW 5 From (I) & (II); = — . Ans. Area of AXYC 13 Example 7 Prove that the internal bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle. Solution Given : In AABC; AE is the bisector of ZBAC... | |
| V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...externally, then — < 0 since AP and PB have opposite directions. Theorem 31 The internal (or external) bisector of an angle of a triangle divides the opposite side internally (or externally) in the ratio of the sides containing the angle. Proof Let AD be the internal (external)... | |
| University of Bombay - 1915 - 500 pages
...respectively ; if G be the centroid, shew that the three quadrilaterals AEGF, BFGD, CDGE are equal in area. 2. The internal bisector of an angle of a triangle divides the opposite 11 side in the ratio of the sides containing that angle. ABCD is a quadrilateral having the opposite... | |
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