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AM=21 CM
BM=10 CM
Step by step
→ Area AAMD: Area AAMC 42: 14:3:1 =
(1/2)* AM * MD * sin e: (1/2)* MC * MD sin (180 - 0) = 3:1 *
→ AM * sin 0: MC * sin = 3:1
➡AM: MC = 3:1
→ AM/MC = 3/1
→ AM/7 = 3/1
→ AM = 21 cm (Ans.)
similarly,
→ Area AMB: Area CMB = AM : CM
→ Area AMB : 28 = 21:7
→ Area AMB / 28 = 3/1
➡ Area AMB = 28 * 3
→ Area AMB = 84 cm².
similarly,
➡ Area DMC: Area BMC = DM: BM
➡ 14:28 = 5: BM
➡ (1/2) = 5/BM
→ BM = 10 cm (Ans.)
Conclusion :- Ratio of areas of A's lies on either side of a straight line is equal to ratio of their base.
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