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.

Would you like more details on isosceles triangles or a specific problem to be solved?

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!