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 digits 0 to 9 at most one time each and as many …

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.

Are you getting (x•sqrt(3))/2 for the height? If you’re getting x•sqrt(3) instead that would cause you to get the solution you’re getting.

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)).

How is this an open middle problem?