Question

Explain why an equilateral triangle is also isosceles short answer please

Answer 1

An equilateral triangle is also isosceles because it has two sides of equal length. In an equilateral triangle, all three sides are equal in length, which means that any two sides are also equal in length. Therefore, an equilateral triangle satisfies the definition of an isosceles triangle, which is a triangle that has at least two sides of equal length.

Even though an equilateral triangle is a type of isosceles triangle, it is treated differently because it has all three sides of equal length, while a typical isosceles triangle has only two sides of equal length

Answer 2

Triangles can be classified by their side lengths.

Equilateral Triangles

An equilateral triangle is a triangle with 3 equal sides. This means that all of the sides are the same length. Remember that side lengths and angle measurements are correlated. This means that since all 3 sides are equal, the angles are also equal. All triangles have angles that sum to 180°. So, this means that all angles in an equilateral triangle are 60°.

Isosceles Triangles

In an isosceles triangle, 2 sides are equal. These sides are called the legs and the different side is called the base. Additionally, since side lengths are correlated to angles, 2 of the angle measurements are equal. So, in an isosceles triangle, we can find all angle measurements if we are just given one. One of the most common special right triangles, the 45-45-90 special right triangle, are isosceles as well.