In the given figure, PQRS is a parallelogram with $PS = 7~\text{cm}$, $PT = 4~\text{cm}$ and $PV = 5~\text{cm}$. What is the length of $RS$ in cm? (The diagram is representative.)
In the given figure, PQRS is a parallelogram with $PS = 7~\text{cm}$, $PT = 4~\text{cm}$ and $PV = 5~\text{cm}$. What is the length of $RS$ in cm? (The diagram is representative.)
Show Hint
- $\dfrac{20}{7}$
- $\dfrac{28}{5}$
- $\dfrac{9}{2}$
- $\dfrac{35}{4}$
The Correct Option is B
Solution and Explanation
Using the right triangle $PVT$, we know: \[ \text{Hypotenuse}^2 = \text{Base}^2 + \text{Height}^2 = 4^2 + 5^2 = 16 + 25 = 41 → RS = \sqrt{41} \approx 6.4~\text{cm}. \]
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