isosceles triangle
An isosceles triangle is a type of triangle with two sides of equal length
An isosceles triangle is a type of triangle with two sides of equal length. It also has two angles that are equal in measure. The third side, called the base, is usually different in length from the other two sides. In an isosceles triangle, the height, or altitude, drawn from the vertex angle (the angle opposite the base) to the base bisects the base, meaning it divides the base into two equal segments.
The properties of an isosceles triangle can be summarized as follows:
1. Two sides are of equal length.
2. Two angles are of equal measure.
3. The base angles (angles adjacent to the base) are congruent (equal in measure).
4. The altitude drawn from the vertex angle to the base bisects the base.
5. The sum of the interior angles of an isosceles triangle is always 180 degrees.
In terms of area, the formula to calculate the area of an isosceles triangle is:
Area = (base * height) / 2
where the height is the length of the altitude drawn from the vertex angle to the base.
Isosceles triangles are commonly seen in architecture, as they provide stability and symmetry. They are also frequently encountered in geometry problems and applications, serving as a foundational shape in various mathematical calculations and constructions.
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