Question

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

Answer 1

3.32 units

Step-by-step explanation:

From the given figure, applying ratios of similar triangles:

`\begin{gathered} (QT)/(RT)=(RT)/(TS) \\ \implies RT^2=QT* TS \end{gathered}`

Substitute the given values:

`\begin{gathered} RT^2=5*2.2 \\ RT^2=11 \\ √(RT^2)=√(11) \\ RT=3.32\text{ units} \end{gathered}`

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