I need help .. :( Which length is the geometric mean between x and c?

Question

anonymous · Answer

attachment

anonymous · Answer

x is the line segment, and c is the line?  what do you mean by distance between the two?

anonymous · Answer

geometric mean between x and c...?

anonymous · Answer

The answer is Y

anonymous · Answer

The difference between "x" and "c" is Y

anonymous · Answer

I answered that and it says it's incorrect :(

anonymous · Answer

What is the question exactly word for word

anonymous · Answer

Well that's all it gives me :(

anonymous · Answer

try square root(x*c)

jim_thompson5910 · Answer

Notice how we have similar triangles. That allows us to say


x/a = a/c ... See note below


x*c = a*a


a^2 = x*c


a = sqrt(x*c)


Therefore, the length 'a' is the geometric mean of x and c




Note: x corresponds to 'a' while 'a' corresponds to c. Notice how the first of each pair is the short leg while the second of each pair is a hypotenuse.