Question

Identify the value of x and the length of each secant segment. HELP PLS options: x = 15; PR = 12; PT = 19 x = 15; PR = 19; PT = 12 x = 11; PR = 12; PT = 15 x = 11; PR = 15; PT = 12

Answer 1

Answer:

Option C.

Step-by-step explanation:

From the given figure it is clear that

$PQ=5,QR=7,PS=4,ST=x$

So,

$PR=PQ+QP=5+7=12$

$PT=PS+ST=4+x$

Using Intersecting Secants Theorem, we get

$PQ\times PR=PS\times PT$

$5\times 12=4\times (4+x)$

$60=16+4x$

$60-16+4x$

$44=4x$

Divide both sides by 4.

$11=x$

$PT=4+x=4+11=15$

Since, x = 11; PR = 12; PT = 15, therefore the correct option is C.