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4. Triangles
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Q5 of 168 Page 4

In Fig. 4.35, state if .

DP/PE=3.9/3=1.3/1=13/10


DQ/QF=3.6/2.4=36/24=3/2


DP/PE≠DQ/QF


So PQ is not parallel to EF


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3

In a, P and Q are points on sides AB and AC respectively, such that . If AP = 2.4 cm, AQ = 2 cm, QC = 3 cm and BC = 6 cm, find AB and PQ.

4

In a ΔABC, D and E are points on AB and AC respectively such that DE||BC. If AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm, find BD and CE.

6

M and N are points on the sides PQ and PR respectively of a . For each of the following cases, state whether :

(i) PM = 4 cm, QM = 4.5 cm, PN = 4 cm, NR = 4.5 cm


(ii) PQ = 1.28 cm, PR = 2.56 cm, PM = 0.16 cm, PN = 0.32 cm

7

In three line segments OA, OB, and OC, points L, M, N respectively are so chosen that and but neither of L, M, N nor of A, B, C are collinear. Show that .

Questions · 168
4. Triangles
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