A triangle has 2 sides that are the same length

A triangle with two sides of the same length is called an **isosceles triangle**. This type of triangle has the following properties:

1. **Two equal sides**: The two sides that are of equal length are called the **legs** of the triangle.
2. **One different side**: The side that is not equal to the other two is called the **base**.
3. **Two equal angles**: The angles opposite the two equal sides are also equal. These are called the **base angles**.
4. **Symmetry**: The isosceles triangle is symmetric along the perpendicular bisector of its base.
5. **Altitude**: The altitude (height) from the vertex angle (the angle between the two equal sides) to the base bisects the base.

### Example
If an isosceles triangle has two sides of length 5 and a base of length 6, you can use the Pythagorean theorem to find the height or other missing information.

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### 5 Related Questions
1. How do you find the area of an isosceles triangle?
2. What is the relationship between the angles in an isosceles triangle?
3. How do you prove a triangle is isosceles using geometry?
4. What if the two equal sides form a right angle? What kind of triangle is that?
5. Can an isosceles triangle have obtuse angles?

### Tip:
In an isosceles triangle, the altitude from the vertex to the base not only bisects the base but also creates two right triangles, useful for various calculations!

A triangle has 2 sides that are the same length.

Explore the properties of isosceles triangles, where two sides are equal in length. Learn about the base, equal angles, and how the Pythagorean theorem helps in finding the height. This explanation is ideal for students in Grades 6-8.

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