isosceles Triangle
A triangle that has 2 equal sides.
An isosceles triangle is a triangle that has at least two sides of equal length. Therefore, an isosceles triangle has two congruent angles (the angles opposite the equal sides) and one non-congruent angle (the angle opposite the non-equal side).
Properties of an isosceles triangle:
1. Two sides are of equal length.
2. Two angles are congruent in measure (opposite to the equal sides).
3. The angle opposite the unequal side is called the vertex angle.
Types of isosceles triangles:
1. Acute isosceles triangle: All three angles of an acute isosceles triangle are acute angles (less than 90°).
2. Obtuse isosceles triangle: The vertex angle of an obtuse isosceles triangle is an obtuse angle (greater than 90°).
3. Right isosceles triangle: The vertex angle of a right isosceles triangle is a right angle (exactly 90°).
Properties of an isosceles right triangle:
1. Two legs are congruent.
2. The hypotenuse is the side opposite the right angle.
3. The two acute angles are congruent and each measures 45°.
Applications of isosceles triangles:
1. Roof designs: An isosceles triangle can be used in roof design to create a symmetrical look.
2. Bridges: Isosceles triangles are used in bridge construction as they are stable and can bear heavy loads.
3. Geometry: Isosceles triangles are used in geometry to solve problems related to congruent angles and sides.
More Answers:
Obtuse Angles: Definition, Properties, And ExamplesHow Acute Triangles Are Unique: Properties And Examples
Exploring Scalene Triangles: The Properties, Permutations, And Differences From Isosceles And Equilateral Triangles.