Isosceles Triangle Properties: Identifying the Equal Sides

Triangle Terminology with Isosceles Classifications

In an isosceles triangle, what are each of the two equal sides called ?

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Step-by-step written solution

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1

Understand the problem

In an isosceles triangle, what are each of the two equal sides called ?

2

Step-by-step solution

In an isosceles triangle, there are three sides: two sides of equal length and one distinct side. Our task is to identify what the equal sides are called.

To address this, let's review the basic properties of an isosceles triangle:

  • An isosceles triangle is defined as a triangle with at least two sides of equal length.
  • The side that is different in length from the other two is usually called the "base" of the triangle.
  • The two equal sides of an isosceles triangle are referred to as the "legs."

Therefore, each of the two equal sides in an isosceles triangle is called a "leg."

In our problem, we confirm that the correct terminology for these two equal sides is indeed "legs," distinguishing them from the "base," which is the unequal side. This aligns with both the typical definitions and properties of an isosceles triangle.

Thus, the equal sides in an isosceles triangle are known as legs.

3

Final Answer

Legs

Key Points to Remember

Essential concepts to master this topic
  • Definition: Isosceles triangles have exactly two sides of equal length
  • Terminology: Equal sides are legs, unequal side is base
  • Verification: Count equal sides: two legs + one base = isosceles ✓

Common Mistakes

Avoid these frequent errors
  • Calling the equal sides the 'base'
    Don't call both equal sides the 'base' = confused terminology! The base is specifically the unequal side that the triangle 'sits' on. Always remember: two equal sides are legs, one different side is the base.

Practice Quiz

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Is the triangle in the drawing a right triangle?

FAQ

Everything you need to know about this question

Why are the equal sides called 'legs' and not something else?

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The term 'legs' comes from visualizing the triangle standing up - the two equal sides look like legs supporting the triangle, while the base is what it 'stands' on.

What if all three sides are equal - are they still called legs?

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Great question! When all three sides are equal, it's called an equilateral triangle, not isosceles. In this case, there's no special base, so we usually just call them 'sides'.

Does it matter which side I call the base?

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In a true isosceles triangle, the base is always the side that's different in length. You can't choose - it's determined by which side is unequal to the other two!

How can I remember which is which?

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Think of it like a person: two legs (equal sides) support the body, and the base (unequal side) is what they're standing on. Legs = equal, base = different!

Are there any other names for these parts?

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Sometimes you might see the legs called 'equal sides' and the base called the 'unequal side', but 'legs' and 'base' are the standard mathematical terms you should use.

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