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Mathematics 6 Online
OpenStudy (anonymous):

Can anyone help with Geometry?

OpenStudy (catlover5925):

mabey whats ur question

OpenStudy (hackergod):

connexuz

OpenStudy (anonymous):

Hold on lemme pull it up, my laptop is a little slow

OpenStudy (anonymous):

9. An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

OpenStudy (anonymous):

@ValarieAnne

OpenStudy (catlover5925):

idk @jordanloveangel

OpenStudy (jordanloveangel):

ayyyeeee hru? what do u need help with?

OpenStudy (anonymous):

@babygurl47672 oh gosh is this from class?? I hate this question -.-

OpenStudy (anonymous):

@ValarieAnne yeah it is and the teacher didn't help much

OpenStudy (jordanloveangel):

Imagine an equilateral triangle with a line extending from one of the vertexes to the midpoint of the opposite side. This line is the line described in the question. It can be considered to split the triangle into two right angle triangles. The hypotenuses of these triangles are the length of the side of the triangle, and the other side is one half of the length of a side. Therefore, using the Pythagorean theorem, you can solve for the length of a side. Let l represent the length of a side 36² = l² - (l/2)² 36² = l² - l²/4 36² = (4l² - l²)/4 4*36² = 4l² - l² 5184 = 3l² 1728 = l² l = sqrt(1728) l ≃ 41.57

OpenStudy (anonymous):

@babygurl47672 uhm ya I know she never does and its super annoying

OpenStudy (asett):

Well, if we split the equilateral triangle into two triangles with a base length of 36, then we have a 30-60-90 triangle, because equilateral triangles have three 60 degree angles. Then we can take the sine of 60 and set it equal to 36/hypotenuse.\[\sin (60) = 36/hyp.\] Then, remembering to get our calculator in degrees mode, we can solve for the hypotenuse and get \[hyp. = 41.56\] And that should be our answer: around 42.

OpenStudy (jordanloveangel):

@babygurl47672 did it help what i possed

OpenStudy (anonymous):

yes it did thank you

OpenStudy (anonymous):

@jordanloveangel yeah! it did for me thanks

OpenStudy (jordanloveangel):

okay cool if u still need help just #tag me kk

OpenStudy (jordanloveangel):

yah anytime guys later

OpenStudy (anonymous):

@jordanloveangel sure ting

OpenStudy (anonymous):

Okay thank you!!!

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