Question

if tu = uv = 69, st = c + 28, and sv = 2c, what is the value of c?

Explanation:

Step1: Use the perpendicular bisector theorem

Since \(TU = UV = 69\) and \(US\perp TV\), by the perpendicular bisector theorem, \(ST=SV\).

Step2: Set up the equation

Given \(ST = c + 28\) and \(SV = 2c\), we have the equation \(c + 28=2c\).

Step3: Solve the equation

Subtract \(c\) from both sides: \(28=2c - c\).

Answer:

\(28\)