SOLUTION: QUESTION: http://my.thinkwell.com/questionbank/95001-96000/95627/img/242042.gif IMAGE: http://my.thinkwell.com/questionbank/95001-96000/95627/img/238202.jpg Options: PQ = 7

Algebra ->  Angles -> SOLUTION: QUESTION: http://my.thinkwell.com/questionbank/95001-96000/95627/img/242042.gif IMAGE: http://my.thinkwell.com/questionbank/95001-96000/95627/img/238202.jpg Options: PQ = 7      Log On


   

Question 935001: QUESTION: http://my.thinkwell.com/questionbank/95001-96000/95627/img/242042.gif
IMAGE: http://my.thinkwell.com/questionbank/95001-96000/95627/img/238202.jpg
Options:
PQ = 7
PQ = 13
PQ = 26
PQ = 45
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
PS is the perpendicular bisector of QR,
PQ=4x%2B19
PR=2x%2B32
find: PQ
since triangle PQR is an isosceles triangle, PQ=PR
then we have 4x%2B19=2x%2B32 ...solve for x

4x-2x=32-19
2x=13
x=13%2F2
x=6.5
so, since PQ=4x%2B19, plug in x=6.5
PQ=4%2A6.5%2B19
PQ=26%2B19
highlight%28PQ=45%29