Asked by julie

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 and the length of T Q is 16. The length of S R 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
Use the right-triangle altitude theorem (or similar triangles): for leg SR, (SR)^2 = (SQ)·(ST). Here SQ = ST + TQ = 9 + 16 = 25, so

(SR)^2 = 25·9 = 225 ⇒ SR = 15.

Answer: 15 units.