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 R T is x. What is the value of x? 12 units 15 units 20 units 25 units
1 answer:
Answer:
RT = 12 units
Step-by-step explanation:
From the figure attached,
ΔSRQ is right triangle.
m∠R = 90°
An altitude has been constructed from point T to side SQ.
m∠RTQ = 90°
By applying geometric mean theorem in triangle SRQ,


x² = 16 × 9
x² = 144
x = √144
x = 12
Therefore, length of altitude RT is 12 units.
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