Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)
![Use the diagram to answer given that line LM is a common tangent to circle P and circle Q Leave answers in simplified radical when necessary Please let me know class=](https://us-static.z-dn.net/files/dd4/7b1d8b95c18c049dfd69d992274ba84e.png)
Answer:
PL = 9
PN = 5√5
Step-by-step explanation:
8/12 = 6/PL
8PL = 72
PL = 9
PN² = 10² + 5² = 100 + 25 = 125
PN = √125 = 5√5