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Circle J is inscribed in isosceles trapezoids ABCD, as shown. Points E,F,G and H are points of tendency. The length AB is 10 cm. The length of DC is 20 cm. What is the length,in…

Circle J is inscribed in isosceles trapezoids ABCD, as shown. Points E,F,G and H are points of tendency. The length AB is 10 cm. The length of DC is 20 cm. What is the length,in…
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circle J is inscribed in isosceles trapezoids ABCD, as shown. Points E,F,G and H are points of tendency. The length AB is 10 cm. The length of DC is 20 cm. What is the length,in cm, of BC?

circle J is inscribed in isosceles trapezoids ABCD, as shown. Points E,F,G and H are-example-1
User Nefas
by
7.9k points

1 Answer

1 vote

In this kind of figures is true:


\begin{gathered} EB\cong BF \\ and \\ CG\cong CF \end{gathered}

Since:


BC=BF+CF

Then:


\begin{gathered} BC=5\operatorname{cm}+10\operatorname{cm} \\ BC=15\operatorname{cm} \end{gathered}

User Svnm
by
8.0k points
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