Isosceles Triangle
A triangle with 2 or more congruent sides
An isosceles triangle is a type of triangle that has two sides of equal length and two equal angles opposite those sides. The remaining angle opposite the unequal side is known as the apex angle. The two equal sides of an isosceles triangle are called legs, while the unequal side is called the base.
Properties of an isosceles triangle include:
1. Two congruent sides: The two legs are of equal length.
2. Two congruent angles: The angles opposite the two legs are of equal measure.
3. The base angles are congruent: The two angles adjacent to the base are of equal measure.
4. The median from the apex is also the altitude: The line segment from the apex of the triangle to the midpoint of the base is perpendicular to the base.
5. The area of an isosceles triangle can be calculated using the formula A = (1/2)bh, where b is the length of the base and h is the height of the triangle.
Isosceles triangles are important in geometry and have various applications in science and real-life situations. For example, the roof of a house typically forms an isosceles triangle shape, and many bridges and towers are designed using isosceles triangles due to their stability and symmetry.
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