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

QT = 18

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