Question

Consider the triangle.

Which statement is true about the lengths of the sides?
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
The three sides have the same length
The sum of the lengths of two sides is equal to the
length of the third side.

Answer 1

The three sides have the same length

Step-by-step explanation

The given triangle has all angles equal to 60°

A triangle that has all angles equal is called an equilateral triangle.

Another property about an equilateral triangle is that, it has all sides equal.

Therefore,the three sides have the same length.

The third option is correct.

Answer 2

For this case we observe that the three angles of the triangle are equal. Also, we have by definition:

A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or
`\frac {\pi} {3}`.

Answer:

The three sides have the same length