Points E, D, and H are the midpoints of triangle TUV. UV=80, TV=100, and HD=80. Find TU.

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]