The area A of an equaliteral triangle with sides of lenght S is given by the formula A:S^2/4 √3

a.stain the domain for S
b.find the area of an equalateral triangle with sides of 10cm. Round to nearest tenth

Question

The area A of an equaliteral triangle with sides of lenght S is given by the formula A:S^2/4 √3

a.stain the domain for S
b.find the area of an equalateral triangle with sides of 10cm. Round to nearest tenth

anonymous · Answer

how does one stain a denominator?  
$$\frac{a}{\color{red}{b}}$$

anonymous · Answer

since S is not restricted in any way (as it is a length) it is real for all S
and for part b

anonymous · Answer

|dw:1315535671641:dw|

anonymous · Answer

okay now to find the hight we can use pythagoras

anonymous · Answer

so the hight is 5root 3

anonymous · Answer

so now we use the area of a triangle formula ... half the base times the hight

anonymous · Answer

so it will be: .5 *10*$$5\sqrt{3}$$

anonymous · Answer

oooh state the domain! it is 
$$S>0$$ since the length cannot be negative

anonymous · Answer

LOL

anonymous · Answer

so the area is approx
43.3013...

anonymous · Answer

i gotta go to class now mate (a 4 hr class) i might be able to help u during it i dunno ... if u have any more questions plz write them here ... i shuld get a notification ...

anonymous · Answer

thank u so much:) u just saved my life