Question Video: Writing Algebraic Expressions That Represent the Length of a Drawn Line | Nagwa Question Video: Writing Algebraic Expressions That Represent the Length of a Drawn Line | Nagwa

# Question Video: Writing Algebraic Expressions That Represent the Length of a Drawn Line Mathematics • First Year of Preparatory School

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Write an expression that represents the length of line segment π΄π΅ in the given figure.

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### Video Transcript

Write an expression that represents the length of line segment π΄π΅ in the given figure.

We first note that the length of the line segment is given by the sum of the mutually exclusive line segments that make up the entire line segment. Letβs call the following point πΆ. We can see that π΄π΅ is equal to π΄πΆ plus πΆπ΅. Since π΄πΆ is equal to seven π₯ and πΆπ΅ is equal to six π¦, we can add these expressions together to find an expression for π΄π΅. This gives us our final answer of seven π₯ plus six π¦.

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