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Leona [35]
3 years ago
13

AC=36cm, and BC=27cm. Verify that DE\\AB.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Answer:

\overline {DE} \parallel \overline{AB} because \frac{EC}{DC} = \frac{AC}{BC}.

Step-by-step explanation:

According to the Theorem of Thales and definition of proportionality, \overline {DE} \parallel \overline{AB} if and only if \frac{EC}{DC} = \frac{AC}{BC}. If we know that EC = 15\,cm, DC = 20\,cm, BC = 36\,cm and AC = 27\,cm, then we have the following result:

\frac{15\,cm}{20\,cm} = \frac{27\,cm}{36\,cm}

\frac{3}{4} = \frac{3}{4}

Hence, \overline {DE} \parallel \overline{AB}.

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