Answer:
4 sqrt(3) = x
Step-by-step explanation:
We have similar triangles
The ratios of the sides have to be in proportion
The large triangle has sides x and hypotenuse 12
The small triangle has side 4 and hypotenuse x
We can write the ratio of sides to hypotenuse
x 4
---- = -------
12 x
Using cross products
12*4 = x^2
48 = x^2
Taking the square root
sqrt(48) = sqrt(x^2)
sqrt(3*16) = x
sqrt(16) sqrt(3) = x
4 sqrt(3) = x
