Using the information in the given figures, match the value of x in each case.
A
3.2 cm
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B
18 cm
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C
12 cm
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Solution
Given DE || BC ∴ From BPT, ADDB=AEEC ⇒104=8x ⇒x=8×410 ⇒x=3.2cmGiven DE || BC ∴ From BPT, ADDB=AEEC ⇒124=x6 ⇒x=12×64 ⇒x=18cm
Given DE || BC ∴ From BPT, ADDB=AEEC ⇒48=6x ⇒x=6×84
⇒x=12cm