Question

what is bc? bc = submit

Explanation:

Step1: Apply the perpendicular bisector theorem

Since \(CA\) is the perpendicular bisector of \(BD\) (given \(BA = AD = 60\) and \(CA\perp BD\)), by the perpendicular bisector theorem, \(BC=CD\).
So, \(3s=s + 50\).

Step2: Solve the equation for \(s\)

Subtract \(s\) from both sides of the equation \(3s=s + 50\):
\(3s-s=s + 50 - s\)
\(2s=50\)
Divide both sides by 2: \(s=\frac{50}{2}=25\).

Step3: Find the length of \(BC\)

Substitute \(s = 25\) into the expression for \(BC\) (\(BC = 3s\)).
\(BC=3\times25\)

Answer:

\(75\)