Questions: If RS=6 and QS=11, what is QR? Write your answer as a decimal or integer.

If RS=6 and QS=11, what is QR? Write your answer as a decimal or integer.
Transcript text: If $R S=6$ and $Q S=11$, what is $Q R$ ? Write your answer as a decimal or integer.
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Solution

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Solution Steps

Step 1: Understand the Given Information

We are given that \( RS = 6 \) and \( QS = 11 \). We need to find the length of \( QR \).

Step 2: Use the Additive Property of Length

According to the additive property of length, the sum of the lengths of segments \( QR \) and \( RS \) is equal to the length of segment \( QS \). Mathematically, this can be written as: \[ QR + RS = QS \]

Step 3: Substitute the Known Values

Substitute the given values into the equation: \[ QR + 6 = 11 \]

Step 4: Solve for \( QR \)

Isolate \( QR \) by subtracting 6 from both sides of the equation: \[ QR = 11 - 6 \] \[ QR = 5 \]

Final Answer

The length of \( QR \) is \( 5 \).

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