Is anyone good at geometry? I need help. I don't understand this stuff

HI = 15

Step-by-step explanation:

Since the two triangles are similar, the ratio of their legs are equal.

HI/25 = 3/5

Solving for HI,

HI = (3/5)×25

= 15

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)