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4. In QRS, QT = 5 ft and TS = 2.2 ft. What is RT? Round to the nearest hundredth

4 In QRS QT 5 Ft And TS 22 Ft What Is RT Round To The Nearest Hundredth class=

Sagot :

Answer:

3.32 units

Explanation:

From the given figure, applying ratios of similar triangles:

[tex]\begin{gathered} \frac{QT}{RT}=\frac{RT}{TS} \\ \implies RT^2=QT\times TS \end{gathered}[/tex]

Substitute the given values:

[tex]\begin{gathered} RT^2=5\times2.2 \\ RT^2=11 \\ \sqrt{RT^2}=\sqrt{11} \\ RT=3.32\text{ units} \end{gathered}[/tex]

The length of RT is 3.32 units (to the nearest hundredth).