Consider triangle pqr. which is the length of side qr

QR = 16 units

Step-by-step explanation:

Given that ΔPQR is right with hypotenuse QR

We can apply Pythagoras' theorem to find QR

QR² = 8² + (8)²

      = 64 + 192

      = 256

Take the square root of both sides

QR = = 16 units

b. astronomers

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)