Chapter 4 Activity 5
a
90 degrees
b
TO squared + PT squared= PO squared
PT squared= PO squared-TO squared
PT= the square root of PO squared- TO squared
c
Triangle PWZ is similar to triangle PYX because angle Y is congruent to angle Z by construction they are both 90 degrees and angle WPZ is congruent to XPY since they are the same angle. Thus by AA similarity triangle PWZ is similar to triangle PXY
PW/PZ=PX/PY
PW times PY=PZ times PX
PT squared=PW times PX which equals PT squared=PQ times PR