The set of integers represents the lengths of the sides of an isosceles triangle is A (6,6,5).
What Is an Isosceles Triangle?
- A triangle with two sides of equal length is an isosceles triangle.
Properties of an Isosceles Triangle
Here is a list of some properties of isosceles triangles:
- In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.
- In the isosceles triangle given above, the two angles ∠B and ∠C, opposite to the equal sides AB and AC are equal to each other.
- The isosceles triangle has three acute angles, meaning that the angles are less than 90°.
- The sum of three angles of an isosceles triangle is always 180°.
Types of Isosceles Triangles
Generally, isosceles triangles are classified into three different types:
- Isosceles acute triangle: An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement.
- Isosceles right triangle: The following is an example of a right triangle with two legs (and their corresponding angles) of equal measure.
- Isosceles obtuse triangle: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.
Therefore, set of integers represents the lengths of the sides of an isosceles triangle {6,6,5}.
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