Question 499042
You have to square 5sqrt(3). What you did was square (sqrt3) then multiply by 5.


By the Pythagorean theorem, a would therefore be


*[tex \LARGE a^2 + (5\sqrt{3})^2 = 10^2]


*[tex \LARGE a^2 + 75 = 100 \Rightarrow a = 5]


You can also find a by noting that this is a 30-60-90 triangle.


The area of the triangle is 5(5sqrt(3))/2 = 12.5(sqrt3).