Questions: 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.
Solution
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:
\[ QR = 11 - 6 \]
\[ QR = 5 \]