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Mathematics 3 Ochigue, Christle Mae
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Figure 5.4 shows triangle PQR with line l paralled to seg.QR. l intersects seg.PQ and seg.PR at S and T respectively. To prove that Join S to R and Q to T Consider PTS and QTS
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Areas of triangles with same height are in the ratio of their bases. Similarly But A ( DQTS ) = A ( D SRT ) as they have a common base seg.ST and their heights are same as they are between parallel lines. Thus the line l which is parallel to seg.QR divides seg.PQ and seg.PR in the same ratio.
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http://www.pinkmonkey.com/studyguides/subject s/geometry/chap5/g0505401.asp http://www.pinkmonkey.com/studyguides/subject s/geometry/chap5/g0505401.asp Geometry: Applications in Real Life, Pearson
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