Find the perimeter of a triangle if one side is 11 inches, another side is (1)/(5) the perimeter

step 1 All right. So the perimeter of any triangle is equal to side length A plus B plus C. And you can

Find the perimeter of a triangle if one side is 11 inches,...

Key Concepts

Linear Equations

Linear equations are algebraic expressions that establish equality between sums or differences of variable and constant terms. Solving for unknowns in these equations helps determine specific numerical values, such as the total perimeter, in problems involving proportional relationships.

Algebraic Equation Setup

This involves representing unknown quantities with variables and expressing the relationships between different parts of a problem as equations. In situations where some components are given as portions of the total, a variable can represent the total, and equations can be formed to represent the sum of the parts equaling the whole.

Fractional Relationships

Fractional relationships in math problems describe how one quantity is a fraction of another. Recognizing and manipulating these fractions is key to setting up equations that represent the parts-to-whole relationships, especially when parts of a total measurement, like a perimeter, are defined by fractions of that total.

Triangle

A triangle is a three-sided polygon where the sum of the lengths of its sides defines its overall size. Understanding the properties of a triangle, including the concept of its perimeter, is crucial in problems that involve calculating dimensions based on side relationships.

Perimeter

The perimeter is the total distance around the boundary of a geometric figure. In various problems, the perimeter is expressed as the sum of its side lengths, and sometimes parts of it are given as fractions of the total, which requires setting up and solving equations to find individual side lengths.

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