Points E, D, and H are the midpoints of triangle TUV. UV=80, TV=100, and HD=80. Find TU.
Accepted Solution
A:
triangle HVD is similar to triangle TVU. ratio of corresponding sides are equal [tex] \frac{vd}{vu} = \frac{hd}{tu} [/tex] Since D is the midpoint of VU, VD=40 [tex] \frac{40}{80} = \frac{80}{tu} [/tex] 40(TU)=80(80) [tex]tu = \frac{80 \times 80}{40} \\ tu = 160[/tex]