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Question
Use the following figure to find:
(i) BC, if AB = 7.2 cm.
(ii) GE, if FE = 4 cm.
(iii) AE, if BD = 4.1 cm
(iv) DF, if CG = 11 cm.
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Solution
According to the equal intercept theorem since CD = DE
Therefore AB = BC and EF = GF
(i) BC = AB = 7.2cm
(ii) GE = EF + GF
= 2EF
= 2 x 4
=8cm
Since B, D, and F are the mid-point and AE || BF || CG
Therefore AE = 2BD and CG = 2DF
(iii) AE = 2BD
= 2 x 4.1
= 8.2
(iv) DF = `[1]/[2]`CG
= `[1]/[2]` x 11
= 5.5 cm
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