Question

Find x in th given figures. X=?inches

Answer 1

X = sqrt( 4 *(8+4))

x= sqrt(4*12)

x = sqrt(48)

x = 6.928  ( Round the answer as needed)

Answer 2

Answer: The value of x is 6.92 inches.

Step-by-step explanation:

Since we have given that

There is one secant say, PAB.

PA = 4 inches

PB = 8 +4 = 12 inches

And one tangent say PT.

PT= x

And we know that when one secant get intersected by the tangent at a point 'P'.

Then the Product of segments of secants is square of the tangent.

i.e.

$PT^2=PA.PB\\\\x^2=4\times 12\\\\x^2=48\\\\x=\sqrt{48}\\\\x=4\sqrt{3}\ inches$

Hence, the value of x =4√3=6.92 inches.