Question

what is sv?
sv =
submit

Explanation:

Step1: Use the Angle - Angle - Side (AAS) Congruence Theorem

Since \(SU\) is a common side, \(\angle SUV=\angle SUT = 90^{\circ}\), and \(\angle VSU=\angle TSU\) (given the angle bisector), by AAS congruence, \(\triangle SUV\cong\triangle SUT\).

Step2: Apply the property of congruent triangles

In congruent triangles \(\triangle SUV\) and \(\triangle SUT\), corresponding sides are equal. So \(SV = ST\).

Answer:

\(4\)