Open Middle®
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
Tags 8.G.7 DOK 2: Skill / Concept G-SRT.8 Robert Kaplinsky
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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.
Or maybe you use b*h for área instead b*h/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)).
How is this an open middle problem?
Yeah, this is probably not the best example.
Yeah, this is probably not the best example.