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Transcript
GEOMETRY Notes: Angle Bisector Theorem Notes: Angle Bisector Theorem In a triangle the angle bisector divides the opposite side in the ratio of the remaining sides. This ABC ( figure 5.5) the bisector of A divides BC in the ratio . Figure 5.5 To prove that Through C draw a line parallel to seg.AD and extend seg.BA to meet it at E. seg.CE seg.DA BAD AEC , corresponding angles DAC ACE , alternate angles But BAD = DAC , given AEC ACE Hence AEC is an isosceles triangle. seg.AC seg.AE Instructor: CHRISTLE MAE B. OCHIGUE [email protected] In BCE AD CE Thus the bisector divides the opposite side in the ratio of the remaining two sides. Source: http://www.pinkmonkey.com/studyguides/subjects/geometry/chap5/g0505501.asp Instructor: CHRISTLE MAE B. OCHIGUE [email protected]
