Answer:
B. 2sqrt(30)
Step-by-step explanation:
The three right triangles are similar.
In the left right triangle, the short leg measures 6, and the hypotenuse measures x.
In the large triangle, the short leg measures x, and the hypotenuse measures 6 + 14 = 20.
Since all three triangles are similar, the ratios of the lengths of corresponding sides are equal.
6/x = x/20
x^2 = 6 * 20
x^2 = 120
x = sqrt(120)
x = sqrt(4 * 30)
x = 2sqrt(30)
Answer: B. 2sqrt(30)
