Isosceles Triangle
a triangle with at least two congruent sides
An isosceles triangle is a type of triangle that has two sides of equal length. This means that two of its three sides have the same length. The third side, known as the base, can be a different length. The angles opposite the equal sides are also equal in measure. This means that an isosceles triangle has two equal angles and one angle that is different.
The line that bisects the angle formed by the two equal sides also bisects the base, creating two congruent triangles. The height of the triangle is the perpendicular line drawn from the base to the point where the two equal sides meet. The height also bisects the base, creating two congruent right triangles.
The perimeter of an isosceles triangle can be calculated by adding the lengths of all three sides together. The area can be found by using the formula A = (b * h) / 2, where b is the length of the base and h is the height.
Isosceles triangles are commonly seen in architecture, where they are used as decoration in arches and pediments. They are also commonly used in mathematics and geometry to teach concepts such as congruence, similarity, and trigonometry.
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