Answer:
x = 2 sqrt(7)
Step-by-step explanation:
since the right triangles are similar
hyp leg
------ = ---------
leg part
(6+8) x
--------- = ----------
x 2
Using cross products
x^2 = (6+8) *2
x^2 = 28
Take the square root of each side
x = sqrt(28)
x = sqrt(4) sqrt(7)
x = 2 sqrt(7)
