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7. Triangles KJL similar to Triangle QPR

         [tex]\frac{KJ}{LJ} =\frac{QP}{RP} \\\frac{KJ}{28} =\frac{33}{42} \\KJ = \frac{33}{42} *28 =22[/tex]

8. Triangles KML similar to Triangle VTU

       [tex]\frac{UT}{UV} =\frac{LM}{LK} \\\frac{UT}{60} =\frac{117}{130} \\UT =\frac{117}{130} *60\\UT=54[/tex]

Last question: Triangle CUB similar to TUS

  • if both triangles are similar then the side lengths are equally  

     proportional

  • For the picture, we see that TU is three times as long as CU
  • therefore SU is three times as long as BU, and since SU is 12 then BU is 4. Therefore SB is 8