In triangle xyz, the length of side xy is 26 mm and the length of side yz is 37 mm. which of the following could be the length of side xz?
a. 68 mm
b. 44 mm
c. 9 mm
d. 65 mm

Remember that to be a triangle, one side must be smaller than the sum of the other two sides or else it will be a line
so if x=largest side then the other sides are y and z then
y+z>x so

we have side XY=26 and YZ=37
37 could be the shorter side or
these are the shorter sides

if 37 is the shorter side then go to
if these are the shorter side then go to



26+XZ>37
subtract 26 from both sides
XZ>9
therefor the answer could be any number greater than 9 so the answer is A,B,D


26+37>XZ
add
63>XZ
therefor the answer could be 65 or 68 (A and D)

2 answers
A,B, and D or A and D