Question

Find the perimeter. Simplify your answer.
U-1
5
4

Answer 1

The perimeter of the triangle with side lengths
`\(u - 1, 5, \) and \(4\) is \(u + 8.\)` Perimeter is the sum of the lengths of all sides. In this case,
`\(u + 8\)` represents the total distance around the triangle.

To find the perimeter of a triangle with side lengths
`\( u - 1, 5, \) and \( 4, \)` you add the lengths of all three sides. The sum is expressed as
`\( u - 1 + 5 + 4. \)` When you combine like terms, the expression simplifies to
`\( u + 8. \)`

In geometric terms, the perimeter of a polygon is the sum of the lengths of its sides. In this case,
`\( u + 8 \)` represents the total distance around the triangle. This concise expression captures the relationship between the variable
`\( u \)` and the side lengths.

Understanding the perimeter is crucial in geometry as it provides insight into the overall size and extent of a shape. Expressing the perimeter algebraically allows for a general representation applicable to various scenarios, making it a valuable tool in mathematical reasoning and problem-solving.

In conclusion, the perimeter of the given triangle is
`\( u + 8. \)` This answer encapsulates the geometric concept of perimeter and its algebraic representation for the specific triangle in question.