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):
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
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