SOLUTION: In the diagram, BE = 50 cm and AC=DC. Find the length of BC, in cm. https://ibb.co/zPjn0wJ

Algebra ->  Length-and-distance -> SOLUTION: In the diagram, BE = 50 cm and AC=DC. Find the length of BC, in cm. https://ibb.co/zPjn0wJ      Log On


   

Question 1208919: In the diagram, BE = 50 cm and AC=DC. Find the length of BC, in cm.
https://ibb.co/zPjn0wJ
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Two right-triangles, each with the same size hypotenuse (AC=DC).
Setting x=BC, h=AC=DC, and Pythagorean Theorem, this equation can be formed:

x%5E2%2B20%5E2=h%5E2=%2850-x%29%5E2%2B32%5E2.
Solve that for x.

Note, no need to solve for h.
x%5E2%2B20%5E2=%2850-x%29%5E2%2B32%5E2

Algebraic steps should lead to 100x=32%5E2%2B50%5E2-10%5E2
and... finally
highlight%28x=31.24%29.