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?

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Tameshwar asked Jan 13, 2023

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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

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Tameshwar asked Jan 13, 2023

by Tameshwar

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In this kind of figures is true:

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

Since:

Then:

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

Bryanbcook answered Jan 17, 2023

by Bryanbcook

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