# If the altitude of an equilateral triangle is #8sqrt3#, what is the perimeter of the triangle?

The altitude of an equilateral triangle is the perpendicular line from a vertex to the opposite side.

This always forms a 30, 60, 90 triangle with the two triangles that form. (Try to prove this for "fun" Hint: HL = HL and CPCTC)

What do we know about 30-60-90 triangles? We know the relationship between angles and side lengths!

We are trying to find the perimeter; we know that one side is 16.

Alas, it is an equilateral triangle, so all of the sides are length 16.

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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.

- What is the centroid of a triangle with corners at #(2 , 5 )#, #(4 , 9 )#, and #(3 , 3 )#?
- A triangle has corners A, B, and C located at #(4 ,7 )#, #(9 ,5 )#, and #(6 ,2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners A, B, and C located at #(5 ,5 )#, #(7 ,9 )#, and #(9 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners A, B, and C located at #(1 ,1 )#, #(3 ,4 )#, and #(2 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- Draw a line l and a point A not lying on l. Draw the line m that is passing through A and parallel to #l#?

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