Question

select the correct answer.
in rectangle pqrs, pq = 18, ps = 14, and pr = 22.8. diagonals \\( \overline { p r } \\) and \\( \overline { q s } \\) intersect at point t. what is the length of \\( \overline { t q } \\)?
a. 7
b. 9
c. 11.4
d. 22.8

Explanation:

Step1: Recall the property of rectangle diagonals

In a rectangle, the diagonals are equal and bisect each other. So \(QS = PR\) and \(TQ=\frac{1}{2}QS\).

Step2: Substitute the value of \(PR\)

Since \(PR = 22.8\), and \(QS=PR\), then \(TQ=\frac{1}{2}\times22.8\).

$$TQ = 11.4$$

Answer:

C. 11.4