Which three measurements could be the lengths of the sides of a triangle?
A). No. Even end-to-end, the 5 and the 3 couldn't cover the 9.
B). Technically yes, but not really. End-to-end, the 5 and the 2 would lay down
right on top of the 7. It would be a triangle with two angles of 0° and one angle
of 180°. The base would be 7, the height would be zero, and the whole thing
would just look like a piece of line.
C). No. Even end-to-end, the 2 and the other 2 couldn't cover the 5.
D). Yes. A cute little scalene triangle.
[latex]a,b,c-lengts\ of\ the\ sides\ of\ a\ triangle\\\\If\ a\leq b\leq c\ then\ a+b > c\\\\A.\\5+3=8\not>9-NO\\B.\\5+2=7\not>7-NO\\C.\\2+2=4\not>5-NO\\D.\\5+3=8 > 7-YES[/latex]