Question

Given circle U with diameter ST and radius UQ.QR is tangent to U at Q. If
QS = 24 and ST 30, solve for QT. Round your answer to the nearest tenth if
necessary. If the answer cannot be determined, click "Cannot be determined."

Answer 1

Answer:

  QT = 18

Step-by-step explanation:

ST is the hypotenuse of right triangle SQT, so the Pythagorean theorem applies.

  ST² = QS² +QT²

  30² = 24² +QT²

  QT = √(30² -24²) = √324

  QT = 18