If you were constructing a triangular frame, and you had wood in the length of 4 inches, 4 inches, and 7 inches, would it make a triangle? would you be able to create a frame from these pieces of wood?

Yes it is possible to construct a triangle and it will be an isosceles triangle.

Step-by-step explanation:

The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

The given sides of the triangle is 4 inches, 4 inches, and 7 inches.

Here,

So by triangle inequality, a triangle with sides   4 inches, 4 inches, and 7 inches. is possible.

Since it has two equal sides as 4 inches , then it must be an isosceles triangle.