|
|
Post by Casey Jones on Dec 17, 2021 2:12:49 GMT -5
I'm even having trouble explaining my question.
I have 3 boards that are 4 feet each. I'm going to make an equilateral triangle with them and I need to know the height of the triangle.
So basically I'm asking, If I lean a 4 foot board at a 60° angle. How tall will it be?
|
|
|
|
Post by Non Banjoble Tokens on Dec 17, 2021 2:14:54 GMT -5
Finally, something that seems like an actual school project.  |
|
|
|
Post by TWERKIN' MAGGLE on Dec 17, 2021 2:18:11 GMT -5
Triangle eh?  |
|
Cranjis McBasketball
Crow T. Robot
Knew what the hell that thing was supposed to be
Peace Love and Nothing But
Posts: 41,959
|
Post by Cranjis McBasketball on Dec 17, 2021 2:51:09 GMT -5
According to my very likely wrong calculation about 3.5 feet.
|
|
|
|
Post by A Platypus Rave on Dec 17, 2021 3:05:37 GMT -5
from what I Remember from trig... years ago.
Height for an equilateral triangle is h = (√3/2)a (a being the side)
and according to this... *taps into calculator* my calculator is out of batteries... I mean... uh...
yeah, 3.5' is correct if you round to one decimal... 3.46' if you round to two.
|
|
|
|
Post by TOK Hehe'd Around & Found Out on Dec 17, 2021 8:37:19 GMT -5
from what I Remember from trig... years ago. Height for an equilateral triangle is h = (√3/2)a (a being the side) and according to this... *taps into calculator* my calculator is out of batteries... I mean... uh... yeah, 3.5' is correct if you round to one decimal... 3.46' if you round to two. This is right. The other way to think about this problem is by using the Pythagorean theorem. An equilateral triangle is just two right triangles put back to back, so to figure out the height you have to reverse engineer a²+b²=c², or in this case 2²(half of the base of the triangle) + height² = 4² (the hypotenuse of the triangle is one side, since they're all the same) That gets you 4 + height² = 16, so height² = 12, so the answer is the square root of 12 which is 3.46 |
|
Magnus the Magnificent
King Koopa
didn't want one.
I could write a book about what you don't know!
Posts: 12,490 
|
Post by Magnus the Magnificent on Dec 17, 2021 8:49:42 GMT -5
|
|
|
|
Post by Tenshigure on Dec 17, 2021 9:26:21 GMT -5
This is right. The other way to think about this problem is by using the Pythagorean theorem. An equilateral triangle is just two right triangles put back to back, so to figure out the height you have to reverse engineer a²+b²=c², or in this case 2²(half of the base of the triangle) + height² = 4² (the hypotenuse of the triangle is one side, since they're all the same)That gets you 4 + height² = 16, so height² = 12, so the answer is the square root of 12 which is 3.46  (Sorry, had to do it) |
|
|
|
Post by Milkman Norm on Dec 17, 2021 10:04:07 GMT -5
Are the boards being held by divas in business attire?
|
|
