How To Find The Length Of An Isosceles Triangle

How to Determine the Length of an Isosceles Triangle

Introduction

An isosceles triangle is a triangle with two equal sides. The third side is called the base of the triangle. The following guide will assist you in determining the length of an isosceles triangle.

Method 1: Using the Pythagorean Theorem

  • Step 1: Identify the equal sides.
  • Step 2: Label the unknown side as “x.”
  • Step 3: Use the Pythagorean Theorem: a2 + b2 = c2.
    • In this case, a and b represent the equal sides of the triangle, and c represents the unknown side (the base).

Method 2: Using the Law of Cosines

  • Step 1: Identify the equal sides.
  • Step 2: Label the unknown side as “c.”
  • Step 3: Measure the angle opposite the unknown side.
  • Step 4: Use the Law of Cosines: c2 = a2 + b2 – 2ab * cos(C).
    • In this case, a and b represent the equal sides of the triangle, c represents the unknown side (the base), and C is the angle opposite the unknown side.

Conclusion

Using the methods outlined above, you can accurately determine the length of an isosceles triangle. Remember to carefully measure the given values and apply the appropriate formula to obtain the correct result.

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