Points E, D, and H are the midpoints of the sides of TUV. UV=112, TV=140, and HD=112. Find HE.
To find HE, we can use the midpoint formula. Since E is the midpoint of TV, the length of EV is half the length of TV.
EV = TV/2 = 140/2 = 70
Similarly, since D is the midpoint of UV, the length of DU is half the length of UV.
DU = UV/2 = 112/2 = 56
Now, since H is the midpoint of TU, the length of HT is half the length of TU.
HT = TU/2 = (TV + UV)/2 = (140 + 112)/2 = 252/2 = 126
Finally, to find HE, we subtract the length of EV from HT.
HE = HT - EV = 126 - 70 = 56
So, HE equals 56.