Question

In circle O, BC=14 and DC=25. The diagram is not drawn to scale. What is the length of diameter BA?

Answer 1

Draw DO, forming a right triangle with DC and CO.

Then use c^2 = a^2 + b^2

where c^2 = (14 +r)^2
b^2 = (25)^2
a^2 = r^2 = DO^2

solve quadratic for r

from r, get the diameter = 2 r.

Answer 2

thank you so much!