Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is st? st = submit work it out

Question

what is st?
st =
submit
work it out

Explanation:

Step1: Identify the theorem

In the diagram, \( US \perp VT \) (right angle at \( S \)) and \( UV = UT \) (marked congruent segments). By the Perpendicular Bisector Theorem, if a point is on the perpendicular bisector of a segment, it is equidistant from the segment's endpoints. Here, \( S \) is on the perpendicular bisector of \( VT \), so \( VS = ST \).

Step2: Determine \( ST \)

Given \( VS = 67 \), then \( ST = VS = 67 \).

Answer:

\( 67 \)