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Question
If in two triangle ABC and DEF, ∠A = ∠E, ∠B = ∠F, then which of the following is not true?
(a)\[\frac{BC}{DF} = \frac{AC}{DE}\]
(b)\[\frac{AB}{DE} = \frac{BC}{DF}\]
(c)\[\frac{AB}{EF} = \frac{AC}{DE}\]
(d)\[\frac{BC}{DF} = \frac{AB}{EF}\]
Options
- \[\frac{BC}{DF} = \frac{AC}{DE}\]
- \[\frac{AB}{DE} = \frac{BC}{DF}\]
- \[\frac{AB}{EF} = \frac{AC}{DE}\]
- \[\frac{BC}{DF} = \frac{AB}{EF}\]
Solution
In ΔABC and ΔDEF
`∠ A = ∠ E`
`∠ B = ∠ F`
∴ ΔABC and ΔDEF are similar triangles.
Hence `(AB)/(EF)=(BC)/(FD)=(CA)/(DE)`
Hence the correct answer is (b).
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