Equilateral Triangle Side Length

Directions: What is the side length of an equilateral triangle that has an area of 5 square units?

Hint

What formulas do we know that deal with triangles?

Answer

√(20/√3)

Source: Robert Kaplinsky

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5 comments

  1. I got sqrt(10/sqrt(3)). Can I get some explanation on the answer please?

  2. Ack! Actually, no I didn’t, sorry Brad; I got sqrt(20/sqrt(3)). I called the side length of the triangle x then drew the perpendicular height. Using Pythagoras, I found the height to be (sqrt(3)/2)x. The letting the area equal 5, I found the length of x to be sqrt(20/sqrt(3)).

  3. How is this an open middle problem?

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