The area A of an equilateral triangle is a function of the length of one of its sides x. Find the formula for the given function and find the domain.
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
so here, our independent variable is length of one of an equilateral triangle. Let x= length of one side, then height of the equilateral triangle would be h=xsin60.
area is length * height * 1/2
A=x*(xsin60)*1/2= (x^2)sin60/2 =(sqrt3)x^2/4
domain is that length of the equilateral sides is of real numbers, greater than 0.
Not the answer you are looking for? Search for more explanations.
I was thinking more along the lines of:
A(x) = 1/2 b * h
A(x) = 1/2 x * h
A(x) = 1/2 x * sqrt[ x^2 - (x/2)^2]
A(x) = 1/2 x * sqrt[x^2 - (x^2)/4]
that is the same thing.
I know what you did, and it's the same, but I was just dealing with the sides and no angles
you were given equilateral side, so all of its properties are given. I used angles. you used pythagorean theorem. SAME ANSWER will be obtained.
equilateral triangle not equilateral side*
equilateral triangle has all sides of the same length; the angle property is secondary due to the nature of the sides.
when you are given equilateral triangle or equilateral rectangle, you are free to use angles. why are we even discussing this? you should have known that there are multiple ways of solving it...
and your method surely involves more typing than mine, and it isnt like you dont know what sin/cos/ tan is... so...
my professor marked my angle solution, which is just like yours half a point, but when I showed her that I had another solution with just the sides, it was marked as one point. her reasoning was that I have to prove also that every triangle has 180 internal angles if I used that. weird right?