Question

Select all statements that are true about equilateral triangle ABC.

Answer 1

To determine statements that are correct, we proceed as follows:

Step 1: We recall the definition of an "equilateral" triangle

An equilateral triangle is one which"

- has all its sides equal to each other

- has all its internal angles equal to 60 degrees each

From the above definition, it can be concluded that

(A) Angles B and C are 60 degrees is a true statement

Step 2: We solve the triangle for x, as follows:

Now, consider the left right-triangle:

Now, we apply the sine trigonometric ratio to obtain the value of x,