SOLUTION: The lengths of two sides of an obtuse triangle are 7 meters and 9 meters. Which could NOT be the length of the third side?
(F) 4 meters (G) 5 meters (H) 11 meters (J) 12 meters
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Question 1019981: The lengths of two sides of an obtuse triangle are 7 meters and 9 meters. Which could NOT be the length of the third side?
(F) 4 meters (G) 5 meters (H) 11 meters (J) 12 meters
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= length (in meters) of the longest side
= length (in meters) of the shortest side (or one of the two shorter sides, if isosceles)
= length (in meters) of the other side.
For that triangle to be obtuse, we need
.
If the meter side is the longest side, and the length of the other side is meters,
<--><--><--> .
If the longest side is the unknown side, measuring meters,
<--><--> .
so a 4 meter shortest side is an option;
so a 4 meter shortest side is an option;
so a 12 meter longest side is an option, but
means that an obtuse triangle with sides measuring 7 and 9 meters cannot have a third side measuring .
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