equilateral triangle height
2010
Find the area of an equilateral triangle in which the height is 3 square root 3.?
Find the area of an equilateral triangle in which the height is 3 square root 3.
If the altitude (height) is 3 sqrt (3), then the length of one side is 6 units. This can be found using the Pythagorean theorem in the triangle formed by half of the equilateral triangle. Let x = the length of the shorter leg. Then 2x is the length of the hypotenuse (the side of the equilateral triangle). The third side is the altitude – (3). 3sqrt x ^ 2 + [3sqrt (3)] ^ 2 = 4x ^ 2 x ^ 2 + 27 = 3x 4x ^ 2 ^ 2 = 27 x ^ 2 = 9 x = 3 … (OR x = -3, but this makes no sense as long!) So, 2x = 6. So the length of one side of the equilateral triangle is 6 units. So the area is A = (1 / 2) * 6 * 3sqrt (3) A 9 = sqrt (3) units ^ 2 I hope this helps!
Challenge-All Triangles Base=8 and Height=3
Since you found this site, I assume you are interested in gaining a few extra inches of height. Although (if you’re a mature adult) this may sound like a pipe dream, I assure you that it is easier than you think! We’ve all been taught that height is mostly out of our control, that it’s largely determined by genetics. I’m here to tell you that there is more to the story. Of course our gene pool has a lot to do with ones height, but it is definitely not the only factor. Your state of emotion, your exercise regimen, the food you eat, and the hours you sleep are all factors in height determination. Click here to read the rest of the article: Free Height Enhancement
Comment