Answer:
Only one triangle can be constructed with three sides measuring 11 meters, 16 meters, and 26 meters
Explanation:
We know that:
The sum of the length of any two sides of a triangle must be greater than the third side.
As per the statement:
Three sides measuring 11 meters, 16 meters, and 26 meters.
then;
[tex]11+16 = 27 > 26[/tex]
[tex]11+26 = 37 > 16[/tex]
[tex]16+26 = 42 > 11[/tex]
[tex]16-11 = 5 < 26[/tex]
[tex]26-16 = 10< 11[/tex]
[tex]26-11 = 15 < 16[/tex]
therefore, the inequality above are true , there is exactly one triangles with these sides measures 11 meters, 16 meters, and 26 meters
