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KengaRu [80]
4 years ago
8

Given: △ABC,

Mathematics
1 answer:
Svet_ta [14]4 years ago
4 0

Answer:

BE=7 un., EC=5 un.

Step-by-step explanation:

Triangles ABC and ADE are similar, then

\dfrac{14}{14-x}=\dfrac{12}{BE}=\dfrac{10}{x}.

Thus,

14x=10(14-x),\\ \\14x=140-10x,\\ \\24x=140,\\ \\x=\dfrac{140}{24}=\dfrac{35}{6}\ un..

Therefore,

\dfrac{12}{BE}=\dfrac{10}{\frac{35}{6}},\\ \\10BE=12\cdot \dfrac{35}{6},\\ \\10BE=70,\\ \\BE=7\ un.

So EC=BC-BE=12-7=5\ un.

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3 years ago
HELP ASAP PLEASE!!!!!!
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Read 2 more answers
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