SOLUTION: In the diagram, BE = 45 cm and AC = DC . Find the length of BC, in cm. https://ibb.co/5rmVZ26

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Question 1204857: In the diagram, BE = 45 cm and AC = DC . Find the length of BC, in cm.
https://ibb.co/5rmVZ26
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
AC =DC given
BE =45
Let BC =x CE=45-x
AC^2= AB^2+BC^2
AC^2= 18^2+x^2 ( Pythagoras Theorem)
CD^2= CE^2+DE^2
CD^2 = (45-x)^2+20^2
AC =DC given
18^2+x^2=(45-x)^2+20^2
18^2+x^2= 45^2-90x+x^2+20^2
90x =45^2+20^2-18^2
90x=2101
x=23.344 cm =BC
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