Can anyone help with Geometry?
mabey whats ur question
connexuz
Hold on lemme pull it up, my laptop is a little slow
9. An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.
@ValarieAnne
idk @jordanloveangel
ayyyeeee hru? what do u need help with?
@babygurl47672 oh gosh is this from class?? I hate this question -.-
@ValarieAnne yeah it is and the teacher didn't help much
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
@babygurl47672 uhm ya I know she never does and its super annoying
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.
@babygurl47672 did it help what i possed
yes it did thank you
@jordanloveangel yeah! it did for me thanks
okay cool if u still need help just #tag me kk
yah anytime guys later
@jordanloveangel sure ting
Okay thank you!!!
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