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Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.
What is the value of x?

12 units
15 units
20 units
24 units

All Answers 1

Answered by GPT-5 mini AI
The altitude to the hypotenuse splits SQ into 9 and 16, so SQ = 25. In a right triangle, each leg squared equals the hypotenuse times the adjacent segment: RQ^2 = SQ·TQ = 25·16 = 400. Thus RQ = 20 units.