Answer:
d) 19
Step-by-step explanation:
To find the third side which is a minimum integer for this triangle we will use the Triangle Inequality Theorem
Triangle Inequality Theorem
This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
We are given 2 sides of lengths 6 in and 9 in.
Let us denote the third side as x
By the triangle inequality theorem
6 + x > 9 => x > 3
9 + x > 6 => x > - 3 (discard )
9 + 6 > x => 15 > x or x < 15
Smallest possible integer for x > 3 is 4 and also satisfies all inequalities
If third side is 4 inches perimeter = 6 + 9 + 4 = 19 inches
