in a triangle ABC,the AB,BC are in the ratio 2:3 and the sides BC ,CA are in the ratio 4:5,what is the ratio of all sides
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Supposing a triangle ABC
AB/BC=2/3; BC/CA=4/5 [GIVEN]
Matching BC in both cases
AB/BC=2×4/3×4
BC/CA=4×3/5×3
AB/BC=8/12
BC/CA=12/15
A:B:C=8:12:15
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Given: in triangle abc
ab/ bc =2/3
bc/ ca=4/5,
now , take out ratios if the side
by the similarity
ab/bc=bc/ca
it's means
2/3=4/5
=4/5×3/2
=6/5.
Hence , ab/ bc=bc/ca=6/5
so the the ratio is 6:5
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