Answer:
34 units
Step-by-step explanation:
Given a rectangle TREC, with RC and ET being the diagonal both intersecting at the middle, then the following are true;
Let O be the point of intersection of RC and ET;
RO+OC = RC
Given the distance from point R to the middle as 2 x - 3, then RO = 2x-3 and if the distance from the middle point to point C is x + 7, then OC = x+7
Since they intersect in the middle, RO = OC
2x-3 = x+7
Collect like terms
2x-x = 7+3
x = 10
RO = 2x-3
RO = 2(10)-3
RO = 17
since RO = OC, then OC = 17units
Note that both diagonal RC and ET inyetsect at the middle O hence diagonal RC = ET = RO+OC
RC = ET = 17+17
RC = ET = 34units
Hence the length of ET is 34 units
