Answer:
The length of the third side could be 9 ft
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
In this problem
Let
c-----> the length of the third side, in feet
Applying the Triangle Inequality Theorem
1) [tex]6+10>c[/tex] -------> [tex]c<16\ ft[/tex]
2) [tex]c+6>10[/tex] -----> [tex]c>4\ ft[/tex]
so
The length of the third side must be greater than 4 ft and less than 16 ft
Remember that
The scalene triangle has three different sides
therefore
The length of the third side could be 9 ft
