# What is the area of an equilateral triangle with a side length of 1?

Imagine the equilateral being cut in half by an altitude. This way, there are two right triangles which have the angle pattern

If the altitude is drawn in, the base of the triangle is bisected, leaving two congruent segments with length

This is all we need to know, since the area of a triangle is

We know the base is

Refer to this picture if you're still confused:

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The area of an equilateral triangle with a side length of 1 is (√3)/4 square units, or approximately 0.433 square units.

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The area of an equilateral triangle with a side length of 1 is ( \frac{\sqrt{3}}{4} ) square units.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #5 #, its base has sides of length #3 #, and its base has a corner with an angle of #( pi)/6 #. What is the pyramid's surface area?
- A triangle has two corners with angles of # pi / 12 # and # pi / 8 #. If one side of the triangle has a length of #6 #, what is the largest possible area of the triangle?
- Two corners of a triangle have angles of # (7 pi )/ 12 # and # pi / 4 #. If one side of the triangle has a length of # 15 #, what is the longest possible perimeter of the triangle?
- Two corners of a triangle have angles of #pi / 8 # and # pi / 6 #. If one side of the triangle has a length of #2 #, what is the longest possible perimeter of the triangle?
- The area of an equilateral triangle ABC is 50 square centimeters. What is the length of side AB?

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