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secondary 3 | E Maths
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secondary 3 chevron_right E Maths chevron_right Singapore

Help pls

Date Posted: 4 months ago
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Yxcas
Yxcas's answer
184 answers (A Helpful Person)
1st
Let line CE be a line which CE // DA and CE = DA making AECD a parallelogram.

Using properties of a parallelogram,
∠DAB = ∠CEB and DC = AE

Hence,
∠BCE = 180 - 76 - 60 = 44
EB = 18 - 10 = 8

Using Sine rule,
BC / sin∠CEB = EB / sin∠BCE
BC / sin76° = 8 / sin44°
BC = 8 / sin44° * sin76°
BC = 8 / sin44° * sin76°
BC = 11.17cm (2d.p.)