Final answer:
The length of the perimeter of triangle GIH cannot be determined based on the information given.
Step-by-step explanation:
In an isosceles triangle, two sides are congruent. In this case, the length of one of the congruent sides is given as 5 inches. Since triangle GIH is isosceles, the length of the other congruent side is also 5 inches. The perimeter of a triangle is the sum of the lengths of all its sides. Therefore, the perimeter of triangle GIH is 5 + 5 + x, where x represents the length of the remaining side.
'x' cannot be determined based on the information given. We need either the length of the remaining side or an angle measurement to solve for 'x'. Without additional information, the length of the perimeter of triangle GIH cannot be determined.