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How to Find an Expression in Terms of X in an Equilateral Triangle

An equilateral triangle is a special type of triangle in which all three sides are equal and all three angles are equal. If you take an algebra or geometry class in high school or college, you may have to solve various equations related to equilateral triangles. In these types of equations, you usually have to determine an unknown value, as represented by the variable "x." You can solve for x on equilateral triangles by applying various mathematical principles and formulas.

Instructions

    • 1

      Solve for x regarding the length of a side as follows: x = the length of any other side. For instance, if side "y" equals 2 inches and you must solve for side "x," then x would also equal 2 inches.

    • 2

      Solve for x regarding an angle as follows: x = the degree of any other angle within the equilateral triangle. You also can say that x = 60 degrees, since equilateral triangles always have three angles that equal 60 degrees each. Therefore, in terms of an angle, x = 60.

    • 3

      Find x in terms of the perimeter of an equilateral triangle as follows: x = length of a side * 3. For example, if the length of one side is 5 inches, multiply 5 times 3 to get a perimeter of 15 inches.

    • 4

      Find x as the area of an equilateral triangle as follows: x = √3/4(S^2). In this formula, "S" stands for the length of a side. Consider an example equilateral triangle in which the length of a side equals 3 inches. Take the square root of 3, which equals 1.732. Divide this by 4 to get 0.433. Multiply this quotient by the side squared, which equals 9 (3 times 3). Your final answer would be 9 times 0.433, which equals 3.897 square inches.

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