Isosceles triangle
a triangle with two congruent sides
An isosceles triangle is a type of triangle in which two sides are equal in length. The third side, also known as the base, is of a different length. The two equal sides are known as legs.
One important property of an isosceles triangle is that the angles opposite to the two equal sides are congruent. This means that if we label the lengths of the two equal sides ‘a’ and the length of the base as ‘b’, then the two angles opposite to the sides of length ‘a’ will be equal to each other.
Additionally, because the sum of the angles in a triangle is always equal to 180 degrees, an isosceles triangle also has two congruent angles opposite to the equal sides.
Another property of an isosceles triangle is that if we draw a perpendicular line from the vertex opposite to the base to the base itself, then this line will bisect the base into two equal segments. This is because the perpendicular line is also an altitude of the triangle.
Overall, isosceles triangles are of great importance in geometry and appear frequently in real-life applications such as construction and architecture.
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