The height of an equilateral triangle will always cut the side it intersects in half. Now, this is just a matter of applying the Pythagorean Theorem.

The triangle in question looks like this:

The height of a triangle will always cut one of the sides of an equilateral triangle in half. Now, to find the length of the height is just a matter of using the Pythagorean Theorem.

The given equilateral should look similar:

Because the height of an equilateral triangle always cuts a side length in half, figuring out the height becomes a matter of applying the Pythagorean Theorem.

Draw out the equilateral triangle:

Since the height of an equilateral triangle will always cut one of the sides in half, find the height using the Pythagorean Theorem.

Draw out and label the triangle.

Even though you are given exponents for the lengths of this triangle, use the Pythagorean Theorem to solve it. The height of an equilateral triangle will always cut one of its bases in half.

Draw out and label the triangle.

Since the height of an equilateral triangle will always cut its base in half, use the Pythagorean Theorem to find the height.

Draw and label this triangle:

Since the height of an equilateral triangle always cuts its base in half, use the Pythagorean Theorem to find the height of the triangle.

Since the height of an equilateral triangle cuts the base in half, use the Pythagorean Theorem to find the height.