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In the figure shown, a circle is enclosed in trapezium ABCD touching all of its 4 sides, where AD = BC, AB = 10, CD = 16, find BC.

 Jun 13, 2020
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In the figure shown, a circle is enclosed in trapezium ABCD touching all of its 4 sides, where AD = BC, AB = 10, CD = 16, find BC.

 

Hello Guest!

 

The contact radius at \(\overline{BC}\) divides \(\overline{BC}\) into \(\frac{\overline{DC}}{2}\) and \(\frac{\overline{AB}}{2}\).

 

\(\overline{BC}= \frac{\overline{CD}}{2}+ \frac{\overline{AB}}{2}\)

\(\overline{BC}= \frac{16}{2}+ \frac{10}{2}\)

\(\overline{BC}=13\)

laugh  !

 Jun 13, 2020
edited by asinus  Jun 13, 2020
edited by asinus  Jun 13, 2020

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