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

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

What formulas do we know that deal with triangles?

√(20/√3)

Source: Robert Kaplinsky

Tags 8.G.7 DOK 2: Skill / Concept G-SRT.8 Robert Kaplinsky

Directions: Using the integers -9 to 9, at most one time each, fill in the …

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

Yes, I got the same answer as you, Brad. Nice question.

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)).