SOLUTION: In the diagram, BE=45cm and AC=DC. Find the length of BC, in cm. Diagram: https://ibb.co/ThHHTr4

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Question 1148558: In the diagram, BE=45cm and AC=DC. Find the length of BC, in cm.
Diagram: https://ibb.co/ThHHTr4
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
duplicate
Answer by ikleyn(52902)   (Show Source): You can put this solution on YOUR website!
.

Let x be the length of BC.  Then the length of CE is (45-x).


From the condition, you have this equation


   18^2 + x^2 = (45-x)^2 + 20^2,


saying that the two hypotenuses have equal lengths.


Simplify and find x


    18^2 + x^2 = 45^2 - 90x + x^2 + 20^2

    90x        = 45^2 + 20^2 - 18^2

    90x        = 2101

      x        =  = 23.344...   centimeters.     ANSWER

Solved.


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